Question

In a circle of radius 21cm .an arc subtends an angle 60 at the centre (1) the length of the arc (2) area of the sector formed by the arc (3) area of the segment formed by the corresponding chord

Answer 1

Answer:

Step-by-step explanation:

Given a circle of radius, r = 21 cm and

an arc subtends an angle of 60° at center ∅ = 60°

in radians ∅ = 60*π/180

= 22/21

1) Length of the arc is given by r∅

= 21*22/21

=22 cm

2)Are of the sector is given by

r²∅/2

= 21*21*22/21*2

=21*11

=231 sq. cm

3) Area of the minor segment formed by the corresponding chord

= Area of the sector - Area of the triangle formed by the chord subtending

an angle ∅ at the center

= 231 - 1/2*21²*sin∅

=231 -1/2*441*sin60°

=231 - 441√3/4 sq. cm