Question

Two squares are attached to the sides of a quarter circle as shown. What is the best approximation for the area of this figure? Use 3.14 to approximate pi.

Answer 1

I added a screenshot with the diagram of the question

Answer:

Area of figure = 278.5 mm²

If it is an mcq, choose 278 mm²

Explanation:

The given figure is composed of:

1- Two squares each with side 10 mm

2- Quarter of a circle with radius 10 mm

Therefore:

Area of figure = 2*area of one square + area of quarter circle

1- getting the area of one square:

Area of square = (side)² = (10)² = 100 mm²

2- getting area of quarter circle:

Area of quarter circle = 0.25 * π * (radius)²

Area of quarter circle = 0.25 * 3.14 * (10)² = 78.5 mm²

3- getting total area of figure:

Total area = 2*100 + 78.5 = 278.5 mm²

Hope this helps :)