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A wall clock has a circumference of 43.96 inches. What is the area of the clock?

User Abhijith M
by
4.9k points

2 Answers

1 vote

find the radius:

r = C/2pi

r= about 7 (6.99645)

find the area:

A = pi(r)^2

A = about 153.78194 inches^2

User Liker
by
4.8k points
3 votes

Answer: The area of the circle in inches is A= 153.64 inches²

Explanation:

This problem bothers on the calculations on shapes

In this Case a circle

The circumference of a circle is given by

C=2πr

Given that C =43.96 inches

We need to solve for the radius, because we also need the radius to solve for the area

43.96= 2*3.142*r

43.96=6.284r

r= 43.96/6.284

r=6.99 inches

Now back to the area of a circle which is given by

A=πr²

Substituting our value for Pi we have

A= 3.142*6.99²

A=3.142*48.89

A= 153.64 inches²

User Vishnu
by
5.3k points