Question

The area of a circular field is 7850 sq ft. Find the radius of the field.

• A. 100 ft
• B. 10 ft
• C. 50 ft
• D. 60 ft

Answer 1

The correct option is C 50 ft

Given, area of the circular field= 7850 sq ft.
You know,$Areaofacircle=3.14\times {\left(radius\right)}^2$

∴ We can see:
$7850=3.14\times {\left(radius\right)}^2\Rightarrow \frac{7850}{3.14}={\left(radius\right)}^2\Rightarrow {\left(radius\right)}^2=2500\Rightarrow radius=\sqrt{2500}=\sqrt{5\times 5\times 100}=\sqrt{5\times 5\times 10\times 10}=\sqrt{5\times 10\times 5\times 10}=\sqrt{50\times 50}=50$
So, radius of the field is 50 ft.