Question

find the area of the shadede region


+ 14 cm​

Answer 1

Answer:

42

Step-by-step explanation:

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Answer 2

Analysis

In this question, we first have to find the area of the square and then subtract the area of the circle from it. As all the measures are given, we simply need to substitute the values in the required formulae and derive the answer.

Solution,

Length of the square = Diameter of the circle = 14 cm

→ The Square

Length of the square = 14 cm

Area of a square = a²

= 14 x 14

= 196 cm²

→ The Circle

Length of the diameter = 14 cm

Radius = half of diameter = 14 ÷ 2 = 7 cm

Area of a circle = πr²

= $\sf{\dfrac{22}{7}\times7\times7}$

= 22 x 7

= 154 cm²

→ Area of Shaded portion

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

Area of shaded portion = 196 - 154

= 42 cm²

∴ The area of the shaded portion is 42 cm².