Question

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 ______.

पर्याय

• 21 cm

• 10.5 cm

• 14 cm

• 7 cm

Answer 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 7 cm.

Explanation:

Given, dimensions of rectangle, l = 14 cm and b = 11 cm

According to the question,

Area of rectangle = Area of circle 

⇒ l × b = πr²

⇒ `14 xx 11 = 22/7 xx r^2`

⇒ `r^2 = (14 xx 11 xx 7)/22` ...`[∵ π = 22/7]`

⇒ r² = 49

⇒ r = `sqrt(49)`

⇒ r = 7 cm

Hence, the radius of circle is 7 cm.