Question

The exact circumference of a circle is 25π millimeters. What is the approximate area of the circle? Use 3.14 for π. Round to the nearest hundredth if necessary.

Answer 1

Answer: A = 490.63 mm^2

Step-by-step explanation: Hello! To find the area of a circle, you have to find the radius of the circle from the circumference given. The formula is Circumference/2(3.14) = Radius. To find the circumference, multiply 25 x pi, or 25 x 3.14. 25 x 3.14 is 78.5. Put 78.5 in the equation for the circumference. 78.5/2(3.14) = Radius

Simplify:
78.5/6.28 = 12.5

The radius is approximately 12.5.

The formula for the area of a circle is 3.14 x r^2 = A

Put 12.5 in for r or radius

3.14 x 12.5^2 = A, 12.5^2 = 156.25

3.14 x 156.25 = A

3.14 x 156.25 = 490.625

Rounded to the nearest hundredth is A = 490.63

Answer 2

Answer: hope this helps ♡

The approximate area of the circle is 49.736 mm²

Explanation:

Area of circle = π × r²

To find the radius:

25 ÷ 3.14 = 7.96178343949 (← diameter d = 2r)

7.96178343949 ÷ 2 = 3.98089171974 (radius)

π × r² =

3.14 × 3.98089171974² =

3.14 × 15.8474988843 =

49.7611464967 ≈ 49.736