Question

Areas of some circles are given below find their diameters.(1) 176 sq cm (2) 394.24 sq cm (3) 12474 sq cm

Answer 1

$\textbf{area of circle}= \pi \frac{diameter^2}{4}$

(1) area of circle = π(diameter)²/4
176 = 22/7 (diameter)²/4
176 × 7 × 4/22 = diameter ²
8 × 7 × 4 = diameter²
diameter = $\sqrt{8\times7\times4}$
diameter = 4√14 cm

(2) area of circle = 394.24 cm²
so, area of circle = π(diameter)²/4
394.24 = 22/7 × (diameter)²/4
394.24 × 7 × 4/22 = (diameter)²
501.76 = (diameter)²
taking square root both sides ,
diameter = 22.4 cm

(3) area of circle = 12474 cm²
so, area of circle = π(diameter)²/4
12474 = 22/7 × (diameter)²/4
12474 × 7 × 4/22 = diameter²
15876 = diameter ²
taking square root both sides,
diameter = 126 cm

Answer 2

Answer:

(1) area of circle = π(diameter)²/4

176 = 22/7 (diameter)²/4

176 × 7 × 4/22 = diameter ²

8 × 7 × 4 = diameter²

diameter =

diameter = 4√14 cm

(2) area of circle = 394.24 cm²

so, area of circle = π(diameter)²/4

394.24 = 22/7 × (diameter)²/4

394.24 × 7 × 4/22 = (diameter)²

501.76 = (diameter)²

taking square root both sides ,

diameter = 22.4 cm

(3) area of circle = 12474 cm²

so, area of circle = π(diameter)²/4

12474 = 22/7 × (diameter)²/4

12474 × 7 × 4/22 = diameter²

15876 = diameter ²

taking square root both sides,

diameter = 126 cm