Question

find the diameter of the circle whose area is 962.5cm^2​

Answer 1

Question :

Find the diameter of the circle whose area is 962.5 cm² .

Answer :

$\sf\pink{Given:}$

• Area of the circle is 962.5 cm²

$\sf\pink{To\:find:}$

• Diameter of the circle ? .

Explanation :

Area of circle = πr²

$\\ \\ \longrightarrow\sf{ 962.5 = \dfrac{22}{7}\times {r}^{2}}$

$\\ \\ \longrightarrow\sf{ 962.5\times \dfrac{7}{22} = {r}^{2}}$

$\\ \\ \longrightarrow\sf{ \dfrac{9737.5}{22} = {r}^{2}}$

$\\ \\ \longrightarrow\sf{ 306.25 = {r}^{2}}$

$\\ \\ \longrightarrow\sf{ r = \sqrt{306.25}}$

$\\ \\ \longrightarrow\sf{ r = 17.5}$

• Therefore the radius is 17.5

As Diameter = 2 × radius

$\longrightarrow\sf{Diameter = 2\times 17.5}$

$\longrightarrow\sf{Diameter = 35}$

• Therefore the diameter is 35 cm .