A button has a diameter of 0.80 ๐‘–๐‘›๐‘โ„Ž๐‘’๐‘ .

What is the exact area of the button in terms of pi (๐œ‹)?

ย 

A=ฯ€r2

(3 points)
Responses

A.ย 0.16ฯ€ย in2
A.ย 0.16ฯ€ย in2

B.ย 0.40ฯ€ย in2
B.ย 0.40ฯ€ย in2

C.ย 0.64ฯ€ย in2
C.ย 0.64ฯ€ย in2

D.ย 0.80ฯ€ย in2

1 answer

C. 0.64ฯ€ in2

To find the area of the button, we need to first find the radius. The radius is half the diameter, so the radius is 0.80/2 = 0.40 inches.

Now, using the formula for the area of a circle A = ฯ€r2, we can substitute the radius into the formula:

A = ฯ€(0.40)2
A = ฯ€(0.16)
A = 0.16ฯ€

Therefore, the exact area of the button in terms of pi is 0.16ฯ€ in2.