Question

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

Answer 1

Answer:   $\bold{\dfrac{16}{3}\pi}$

Step-by-step explanation:

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

                        radius (r) = 6 cm

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

$\text{Convert degrees into radians}:\\\dfrac{\pi}{180}=\dfrac{\theta}{160}\\\\\\\dfrac{160\ \pi}{180}=\theta\\\\\\\dfrac{8\pi}{9}=\theta$

$s=r\times \theta\\\\.\ =6\times \dfrac{8\pi}{9}\\\\\\.\ =\dfrac{2\times 8\pi}{3}\\\\\\.\ =\dfrac{16}{3}\pi$

Answer 2

Answer:

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

Step-by-step explanation: