Question

If the area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm², then its radius is
(a)12 cm
(b)6 cm
(c)8 cm
(d)10 cm

Answer 1

Answer:

The Radius of a circle is  8 cm.

Among the given options option (c) 8 cm is the correct answer.

Step-by-step explanation:

Given :  

Area of the sector of a circle = 20π cm ²

Length of the Arc , l = 5π cm

Area of the sector of a circle = ½ lr

20π = ½ × 5π × r

20 × 2 = 5r

40 = 5r

r = 40/5  

r = 8 cm

Radius of a circle = 8 cm

Hence, the Radius of a circle is  8 cm.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

$hi..$

$here \: is \: your \: answer..$

Length of an arc = 5πcm

Area of sector = 20πsq.cm

Radius = ?

We know that ,

$area \: of \: sector = \frac{l}{2} \times r$

$20\pi = \frac{5\pi}{2} \times r$

$20\pi \times 2 = 5\pi \times r$

$40\pi = 5\pi \times r$

$\frac{40\pi}{5\pi} = r$

$r = 8cm$

THUS ,

The answer is c) 8cm.

$hope \: \: this \: \: helps..$