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NCERT Exemplar Solutions Class 7 Mathematics Solutions for Perimeter and Area - Exercise in Chapter 9 - Perimeter and Area

Question 6 Perimeter and Area - Exercise

The area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14cm × 11 cm, the radius of the circle is

(a) 21 cm (b) 10.5 cm (c) 14 cm (d) 7 cm.

Answer:

(d) 7 cm

From the question it is given that, dimensions of rectangle length = 14 cm, breadth = 11 cm

As area of rectangle = area of circle

length × breadth = πr2

14 × 11 = (22/7) × r2

r2 = (14 × 11 × 7)/22

r2 = 49

r = √49

r = 7 cm

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