Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14cm × 11 cm, then radius of the circle is
a. 21 cm
b. 10.5 cm
c. 14 cm
d. 7 cm

Solution:

It is given that

Dimensions of the rectangle = 14 × 11 cm

From the question

Area of rectangle = Area of circle

l × b = πr²

Substituting the values

14 × 11 = 22/7 × r²

By further calculation

r² = (14 × 11 × 7)/ 22

r² = 49

r = 7 cm

Therefore, the radius of the circle is 7 cm.

✦ Try This: A wire is bent to form a square of side 88 cm. If the wire is rebent to form a circle, its radius is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11

NCERT Exemplar Class 7 Maths Chapter 9 Problem 6

Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14cm × 11 cm, then radius of the circle is a. 21 cm, b. 10.5 cm, c. 14 cm , d. 7 cm

Summary:

Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14cm × 11 cm, then radius of the circle is 7 cm

☛ Related Questions:

• Area of shaded portion in Fig. 9.15 is a. 25 cm², b. 15 cm², c. 14 cm², d. 10 cm²
• Area of parallelogram ABCD (Fig. 9.16) is not equal to a. DE × DC, b. BE × AD, c. BF × DC, d. BE × B . . . .
• Area of triangle MNO of Fig. 9.17 is a. 1/2 MN x NO, b. 1/2 NO x MO, c. 1/2 MN x OQ, d. 1/2 NO x OQ