Question

Areas of some circles are given below, find their diameters.

i. 176 sq.cm 

ii. 394.24 sq. cm 

iii. 12474 sq. cm

Answer 1

i. Area of the circle = 176 sq. cm ....[Given] 

Area of the circle = πr²

∴ r = √56 … [Taking square root of both sides]

Diameter = 2r = 2√56 CM

ii. Area of the circle = 394.24 sq. cm … [Given] 

Area of the circle = πr²

∴ Diameter = 2r = 2 x 11.2 = 22.4 cm

iii. Area of the circle = 12474 sq. cm …[Given] 

Area of the circle = πr²

∴ r² = 3969

∴ r = 63 …[Taking square root of both sides] 

∴ Diameter = 2r = 2 x 63 = 126cm