Question

The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she drew? Show your work. Round your answer to the nearest tenth.

Answer 1

Area of model pond = 45.6 inch² (Approx.)

Explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)