Question

the diagram shows a circle drawn inside a square 12cm the circle touches the edges o the square. calculate the shades area. take pi to be 3.142 and write down all the digits given by your calculator.

Answer 1

Answer:

30.89cm³

Step-by-step explanation:

Given that:

Side length, s of square = 12cm

Area of square = s² = 12² = 144cm²

Since the circle touches the edge of tbe square, then the diameter of the circle = side length of square = 12 cm

Area of a circle = πr²

Radius, r = diameter / 2 = 12/2 = 6cm

A = 3.142 * 6^2

A = 3.142 * 36

A = 113.112 cm²

Area of shaded portion = area of square - area of circle

= 144cm² - 113.112cm³

= 30.89cm³