Question

A circle with a radius of 10 inches is placed inside a square with a side length of 20 inches. Find the area of the circle.

a. 143
b. 400
c. 413
d. 314

Answer 1

d. 314

EXPLANATION

The area of a circle is calculated using the formula:

`Area = \pi {r}^(2)`

It was given in the question that, the circle has radius r=10 units. We substitute this value and π=3.14 into the formula to get,

`Area = 3.14 * {10}^(2)`

`\implies \: Area = 3.14 * 100`

`Area = 314 \: {in}^(2)`

The correct answer is D.

Answer 2

d. 314 in²

Explanation:

Area of a circle=πr²where r is the radius of the circle.

A=πr²

=π×10²

=314.2 in²

Area of the circle is 314 in² to the nearest square inch.