Question

If the area of the circle is 841π cm Then find the the length of the longest chord of the circle

Answer 1

length of longest chord = diameter = 2r

given area = 22/7 x r^2 = 841 x 22/7
r^2 = 841
29 = r

2r = 58 cm

Answer 2

The longest chord of the circle is 58 cm.

Step-by-step explanation:

Given,

The area of the circle = $841\pi cm^2$

To find, the longest chord of the circle = ?

Let r be the area of the circle.

We know that,

The area of the circle = $\pi r^2$

∴ $\pi r^2=841\pi$

⇒ $r^2=841$

⇒ $r^2=29^2$

⇒ r = 29 cm

∴ The longest chord of the circle = The diameter of the circle = 2r

= 2 × 29 cm

= 58 cm

Thus, the longest chord of the circle is 58 cm.