Question

A circle with radius ris inscribed inside a square with a side length s. Use 3. 14 for TT Round answer to the nearest hundredth if necessary

If s = 10 millimeters and r = 5 millimeters, calculate the area of the shaded region
square millimeters

Answer 1

9514 1404 393

Answer:

21.46 mm^2

Explanation:

The area of the square is ...

A = s^2 = (10 mm)^2 = 100 mm^2

The area of the circle is ...

A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2

Then the shaded area is ...

100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area