Given the semicircle:141414 What is the area?

Name: Video Solution: Calculate the Area of a Semicircle with Radius 14 Units
Description: Step-by-step video solution

Calculate the Area of a Semicircle with Radius 14 Units

Given the semicircle:

What is the area?

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Step-by-step video solution

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00:00 Calculate the area of the semicircle

00:03 The diameter of the circle according to the given data

00:06 The radius of the circle equals half the diameter

00:09 Let's calculate the radius

00:13 We'll use the formula for calculating circle area

00:17 We'll substitute the radius value and solve for the area of the entire circle

00:20 This is the area of the entire circle, divide by 2 to find the semicircle area

00:28 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

Given the semicircle:

What is the area?

Step-by-step solution

Formula for the area of a circle:

$S=\pi r^2$

We complete the shape into a full circle and notice that 14 is the diameter.

A diameter is equal to 2 radii, so: $r=7$

We replace in the formula: $S=\pi\times7^2$

$S=49\pi$

Final Answer

24.5π

Practice Quiz

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A circle has a circumference of 31.41.

What is its radius?

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Calculate the Area of a Semicircle with Radius 14 Units

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Step-by-step video solution

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Step-by-step solution

Final Answer

Practice Quiz

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