can anybody answer me
Answers
Answer:
48.375 cm^2
Step-by-step explanation:
in the given figure the the side of square = diameter of circle = 2 × radius = 2×7.5 = 15 cm
so area of square= side × side = 15×15 = 225 cm^2
= area of circle = πr^2 = 3.14 × 7.5 ×7.5 = 176.625 cm^2
so area of shaded region= area of square -area of circle = 225-176.625 = 48.375 cm^2
please please mark as brainliest
Given,
A circle of diameter 7.5 cm is inscribed in a square.
To Find,
The area of the shaded area.
Solution,
Let's find the area of the area of the square and the circle one-by-one.
→ The Square
The circle is inscribed inside the square.
∴ The diameter of the circle = measure of one side of the square.
Radius of the circle = 7.5 cm
∴ Diameter = 2r
2 x 7.5
= 15 cm
Area of a square = a² [where a represents one side of a square]
= 15²
= 225 cm²
∴ The area of the square is 225 cm².
→ The Circle
Area of a circle = πr²
=
= 176.625 cm²
∴ The area of the circle is 176.71 cm².
→ Area of the remaining shaded region
= Area of square - Area of circle
= 225 - 176.625
= 48.375 cm²
∴ Area of the shaded region is 48.375 cm².