Question

A circle has radius 5 cm. A section of its circumference has length $\pi$ cm. What is the angle subtended by this section at the centre?

• A. ${36}^{\circ }$
• B. ${45}^{\circ }$
• C. ${50}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is A

${36}^{\circ }$

Radius = 5 cm

Arc length = $\pi$ cm

Angle subtended

$=\frac{Arclength}{Circumference}\times 360$

$=\frac{\pi }{2\pi r}\times 360$

$=\frac{\pi }{2\pi \times 5}\times 360$

$={36}^{\circ }$