Area of semicircle

On this webpage you will find our range of worksheets to help your child learn to work out the area of a range of semi-circles. These sheets are graded from easiest to hardest, and each sheet comes complete with answers. Using these sheets will help your child to: • understand what area is; • know how to find the area of a range of semi-circles with either the diameter or radius given; • solve word problems involving area of semi-circles; A semi-circle is a half a circle. The area of a semi-circle is equal to half of the area of a circle with the same radius. Area of a Semi-Circle Formula So the area of a semicircle is ½πr 2, where r is the radius of the circle. To find the area of a semi circle, follow these simple steps: • find the radius of the circle (the distance from one side to the center of the circle). It is the same as half of the diameter of the circle. • square the radius (multiply the radius by itself) • multiply this amount by pi (π) • halve this answer to find the area of the semi-circle • you have now found the area of the semicircle. Pi (written π) is a special mathematical number which is used to help calculate areas and perimeters of circles. Pi always has the same value which is 3.141592... Area of a Semi Circle Examples Area of a Semi Circle Example 1 Find the area of the circle below to 1 decimal place. To find the area of the semi-circle, we need to square the radius first. 3 x 3 = 9. Next we need to multiply this amount by pi (π). 9 x π = 9π Finally...

Created By : Reviewed By : Last Updated : May 29, 2023 Take the help of free Semicircle Area Calculator tool to obtain the area of a semicircle. Just enter radius of the semicircle in the provided input box & hit on the calculate button located next to the input field to get the area in fraction of seconds. Semicircle Area Calculator: Avail this online & handy tool that calculates the area of a semicircle instantly and easily. The simple step by step process to get the semicircle area, formula and other useful information is listed below. Go through the entire article to get a clear idea on how to solve the area of semicircle in less amount of time along with solved examples. The following are the instructions and guiding principles that are useful to find the semicircle area. Have a look at the below section and follow them. • Let us take the radius or diameter of a semicircle. • We already know that, diameter is double radius. So, radius becomes half of the diameter. • Formula to compute the semicircle area = 1/2 (π * r2) • Substitute the radius value in the above formula. • Work on the math calculations to get the result. 1. What is the formula of semicircle area? The formula to evaluate the area of a semicircle is as follows Area = 1/2 (π * radius2). 2. How do you find the area of a semicircle with the diameter? We can also calculate the semicircle area by using its diameter. Formula is Area = 1/2 (π * (2 * diameter)2) = 2 π diameter2. Place the values and perform mult...

• • • • • • Semicircle: Introduction In geometry, a semicircle is defined as a half circle formed by cutting the circle into two halves. Every diameter of a circle divides it into two semicircles. We get a semicircle when we fold a circular piece along its diameter. So, a circle, when divided in two equal halves, gives us a semicircle. What Is a Semicircle? A semicircle is half of a circle. It is a plane figure formed when we divide a circle into two identical halves. Take any two points on the circle such that the line joining these two points passes through the center of the circle. The two halves that we get are called semicircles. These two semicircles, when taken together, give us a complete circle. In the following image, O is the center. The diameter BC divides the circle into two semicircles. Semicircle Shape To obtain a semicircular shape, we can simply cut the circle from the center. So we could also say that the area of the semicircle is just half of that of the circle. This can be easily understood with the help of the figure given below. Consider the diameter AB of the given circle. This diameter AB divides the given circle into two identical halves. These halves are semicircles and the area of these two semicircles, when combined, gives the area of the entire circle. Area of Semicircle We know that the area of a circle is given by Area of circle $= \pi r^ = 56.55$ square yards Practice Problems

• Select if you want to use the radius or diameter (default is radius). • For the value, you can choose a whole number, decimal or fraction. • You can type a fraction by typing the numerator then '/' then the denominator. • You can type a mixed number by typing the whole-number part, then a space then the fraction part. • Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third). • Choose your units of measurement (default is cm) • Choose your desired accuracy (default is 2 decimal places) • Click the Find Area button • You will be given two answers for the area, one in terms of Pi (π) and the other answer as a decimal value. The area of a semicircle is equal to half of the area of the whole circle.

In geometry, A semicircle is a plane figure created by dividing a circle into two parts. So, using the area and the peri meter of a circle, we can write the formulas for the area and perimeter of a semicircle. With the help of formulas and solved examples, you will learn how to calculate the area and perimeter of a semicircle. ...Read More Read Less The region or inner space of a circle is referred to as its area. A semicircle, as we know, is half of a circle, and therefore its area will also be half that of a circle’s area. The area of a circle is \(\pi r^2\) , where r is the radius of the circle. Therefore, the area of a semicircle is \(=\frac\) or 3.142 . The circumference of a semicircle is equal to half of the circumference of a circle. The measurement of the arc that forms a semicircle is the circumference of a semicircle. The formula for the circumference of a circle is 2\(\pi r\) , where r is the radius. As a result, the circumference of a semicircle is equal to \(=\frac\) \(=\pi r\) units. A semicircular closed region has a perimeter equal to half of the circumference of a circle plus its diameter. The circumference of a circle is 2\(\pi r\) or \(\pi\) d . A perimeter of a semicircle is = \(\left(\frac\) , or 3.142 . Example 1: Calculate the area of a semicircle with a radius of 14 cm. Solution: The radius of the semicircle (r) = 14 cm . Now, area of the semicircle = \(\frac\) for \(\pi\) and 140 for r . = 44 Multiply. The circumference of the semicircle is 44 met...

$\begingroup$ It seems like you are talking about a section of a circle (or perhaps an ellipse) cut off by a line. What do you mean by "an average of 20 ft deep?" What is the maximum depth in you picture? (It seems to me that any figure which is 200 ft wide and an average of 20 ft deep has an area of 4,000 sq. ft., since I would define the average depth as the area divided by the width.) $\endgroup$ Maybe you are thinking about ellipses. They have a formula for the area. This is an ellipse: Note that it doesn't have a radius, but two "axis". The area of a circle is $\pi\cdot r^2$, with $r$ the radius. The area of an ellipse if $\pi\cdot A\cdot B$, which is a nice generalization. The drawing you made could be half an ellipse, so you have to divide the area by a factor of $2$. Do you want to know why the formula is like that?