Question

Geometry and Trigonometry​

Answer 1

a. 227 cm

b. 495 cm

Explanation:

a. Radius of arc = sin(½θ) = 2.10/r

θ = (360-225)/2 = 67.5

Radius of arc = sin(67.5) = 2.10/r

r = 2.10/sin(67.5) = 2.273 m = 227 cm (nearest cm)

b. Length of arc = θ/360*2πr

Take π as 3.14

r = 210 cm

θ = 360 - 225 = 135°

Length of arc =
`(135)/(360)*2*3.14*210 = 495 cm` (to nearest cm)