Answer:
21.5 cm² (nearest tenth)
Step-by-step explanation:
Formulae
- Area of a square = x² (where x is the side length)
- Area of a circle = πr² (where r is the radius)
- Radius = 1/2 diameter
Solution
To find the shaded region, subtract the area of the circle from the area of the square.
Square
Area of the square = 10² = 100 cm²
Circle
Given diameter of circle = 10 cm
⇒ radius = 10 ÷ 2 = 5 cm
⇒ Area of the circle = π · 5² = 25π cm²
Area of shaded region
= area of square - area of circle
= 100 - 25π
= 21.46018366...
= 21.5 cm² (nearest tenth)
