Question

Shashi is painting a decorative circle on her patio. She wants the outer circle to have a diameter of 10 ft. and the inner circle to have a diameter of 7 ft. If she paints only the area between these circles, what will be the area of the painted section? Include the full value of pi in your calculation and round your answer to the nearest hundredth.(1 point)
ft.2

Answer 1

Area = π(R^2 − r^2) with R = 5 ft, r = 3.5 ft:
Area = π(5^2 − 3.5^2) = π(25 − 12.25) = 12.75π = (51/4)π.

Numerically: 12.75π ≈ 40.06 ft^2 (rounded to the nearest hundredth).