NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 9: Perimeter and Area - Multiple Choice Questions
Question 6

Question.  6

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

(a)

(a) 21 cm

(b)

(b) 10.5 cm

(c)

(c) 14 cm

(d)

(d) 7 cm

Detailed Answer with Explanation:

Area of rectangle = \(14 \times 11 = 154\, \text{cm}^2\).

Let radius of circle = \(r\). Then, \(\pi r^2 = 154\).

\(r^2 = \dfrac{154}{\pi} \approx 49\).

\(r = 7\,\text{cm}\).

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 9: Perimeter and Area – Multiple Choice Questions | Detailed Answers