Question

3).
an
An are of length 3 cm of a sector of a circle subtends
angle of measure 60 at the centre. Find the radius
of 와 circle and area of the sector​

Answer 1

Answer:

the radius is 9/π cm and area of sector is 27/2π cm²

Step-by-step explanation:

lenght of arc = Ø/360°× 2πr

Here, Ø= 60° length of arc = 3cm

60°/360°×2πr = 3

1/6×2πr = 3

2πr = 18

πr = 18/2 = 9

r = 9/π cm

area of sector = Ø/360° ×πr²

= 60°/360°×π(9/π)²

= 1/6 × π × 81/π²

= 1/6 × 81/π

= 27/2π cm²