Area of a rectangle and the area of a circle are equal. If the dimensi

1.	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) 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

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) 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