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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

Respuesta :

smmwaite

Answer:

d. 314 in²

Step-by-step 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.

kudzordzifrancis

ANSWER

d. 314

EXPLANATION

The area of a circle is calculated using the formula:

[tex]Area = \pi {r}^{2} [/tex]

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,

[tex]Area = 3.14 \times {10}^{2} [/tex]

[tex] \implies \: Area = 3.14 \times 100[/tex]

[tex]Area = 314 \: {in}^{2} [/tex]

The correct answer is D.

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