Question

The arc of a circle subtends an angle of 56⁰ at the center. The diameter of the circle is 298 mm. Calculate the Length Of the arc of the Sector

Answer 1

Answer:

145.68 mm

Step-by-step explanation:

Given angle subtended by the arc at the center in degree = 56°

Diameter= 298 mm

Angle = Ф = 56× $\frac{\pi }{180}$ radian

                 = $\frac{44}{45}$  radian  (taking pi = $\frac{22}{7}$)

Radius of the circle = 149 mm

Using general formula:

Ф = $\frac{l}{r}$

⇒ $\frac{44}{45}$ = $\frac{l}{149}$

⇒ l = $\frac{44}{45}$ × 149

⇒ l = 145.68 mm

Therefore the length of the arc of the sector is 145.68 mm