Question

centre of the angle=45°,r=16cm find the length of the arc,area and perimeter​

Answer 1

Step-by-step explanation:

For the sectors with given measures, find the length of the arc, area and perimeter, (π = 3.14)

(i) central angle 45°, r = 16 cm

(ii) central angle 120°, d = 12.6 cm

(iii) central angle 60°, r = 36 cm

(iv) central angle 72°, d = 10 cm

Answer 2

${ \boxed{ \mathtt \purple {Given:} }}$

Central angle 45°, r = 16 cm.

${ \boxed {\mathtt{\purple{Solution:}}}}$

Length of the arc,

l = θ° / 360° × 2πr units

l = 45° / 360° × 2 × 3.14 × 16 cm

l = 1/8 × 2 × 3.14 × 16 cm

l = 12.56 cm

Area of the sector,

= θ°/360° × πr2 A

= 45°/360° × 3.14 × 16 × 16 A

= 100.48 cm2

Perimeter of the sector,

P = l + 2r units

P = 12.56 + 2(16) cm

P = 44.56

_______________________________