Question

Calculate the length of a minor arc OP in terms of π​

Answer 1

arc length = radius * angle in degrees * (PI / 180)

arc length = 6 * 160 * (PI/180)

arc length = PI * 960 / 180

arc length = PI * 5 + (60/180)

arc length = (16/3) * PI

Explanation:

Answer 2

Answer:
`\bold{(16)/(3)\pi}`

Explanation:

arc length (s) = radius (r) × θ (in radians)

radius (r) = 6 cm

major arc OP is 200°, so minor arc is 160°.

`\text{Convert degrees into radians}:\\(\pi)/(180)=(\theta)/(160)\\\\\\(160\ \pi)/(180)=\theta\\\\\\(8\pi)/(9)=\theta`

`s=r* \theta\\\\.\ =6* (8\pi)/(9)\\\\\\.\ =(2* 8\pi)/(3)\\\\\\.\ =(16)/(3)\pi`