Radius of Semicircle Calculator
Utilize this free Semicircle Radius Calculator tool to compute the radius of a semicircle in a short span of time. Just give the area of semicircle in the input field and tap on the calculate button to produce the result as soon as possible.
Semicircle Radius Calculator: If you ever wondered how to calculate the radius of a semicircle this handy calculate will help you. In this article, you can get the information related to the Semicircle Radius Definition,Formula, Solved Example Problems, and simple procedure to solve the questions. This online tool makes your lengthy calculations easy and quick.
Semicircle Radius Formula
The simple formulae that is used to calculate the semicircle radius is available here. Check out those formulae and use then whenever required.
- If area is given, radius of semicircle = √[(2 * area) / π]
- If diameter is given, semicircle radius = diameter / 2
- If perimeter is given, radius = perimeter / (π + 2)
Steps to Find Radius of a Semicircle
Follow the simple and easy guidelines listed below and know the procedure on how to find the semicircle radius manually. They are along the lines
- Take the area of semicircle from the given question.
- We know that, radius of semicircle = √((π x Area) / 2).
- Substitute the given area value in the above formula.
- Put the π value i.e 3.14 in the obtained equation.
- Perform multiplication and divide the obtained number by 2.
- Apply square root to the result to get the radius value.
Examples of Calculating Radius of Semicircle
Example 1: Find the radius of a semicircle having area 42 cm2?
Solution:
Given that,
Area of semicircle a = 42 cm2
The formula to get the radius is
r = √((π x a) / 2)
Place the a value in the formula.
r = √((π x 42) / 2)
= √((3.14 x 42) / 2)
= √(131.88 / 2) = √65.94
= 5.172
∴ Radius of semicircle of area 42 cm^2 is 5.172 cm.
Example 2: Calculate the semicircle radius, if perimeter of the semicircle is 25 cm?
Solution:
Given that,
Perimeter of semicircle p = 25 cm
Radius of semicircle = p / (π + 2)
= 25 / (π + 2)
= 25 / (3.14 + 2)
= 25 / 5.14
= 4.863
∴ Radius of semicircle is 4.863 cm.
Example 3: A semicircle is having 13 cm diameter. Find the radius of the semicircle?
Solution:
Given that,
Diameter d = 13 cm
Semicircle radius = d / 2
= 13 / 2
= 6.5
∴ Radius of semicircle is 6.5 cm.
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FAQs on Semicircle Radius Calculator
1. How do you find the radius of a semicircle?
All you have to do is just list out the things given in the semicircle and take any one formula that is helpful to find the semicircle radius. Substitute the values and perform required math operations.
2. What is meant by the radius of a semicircle?
Radius of the semicircle is nothing but the length of a line that joins the center of semicircle and any point on the semicircle.
3. How to calculate radius of a semicircle using a calculator?
Just give input as the area at the given input section and hit on the calculate button to find the accurate output in seconds.
4. Where do I get the detailed procedure to find the semicircle radius?
You can get the detailed procedure to find the radius of a semicircle on our page.