Question

An arc PQ of a circle of radius 15cm substends 160⁰ at the center of the circle find the length of the arc PQ
​

Answer 1

Answer:

The length of the arc PQ is 41.90 cm

Step-by-step explanation:

Radius of the circle is 15 cm

Therefore, perimeter of the circle is S = 2π×15 = 30π cm.

Perimeter subtends 360° at the center and an PQ arc subtends 160° at the center.

Therefore the length of the arc PQ is (P×160/360) cm = 30×160π/360 cm

                                                                                         = 40π/3 cm

                                                                                         = 40×22/(7×3) cm

                                                                                         = 41.90 cm