Question

The radius of a circle is 14m. Find the angle at the centre of the circle subtended by an arc of length
a) 12m
b) 19.5m
c) 64.2m
d) 84.6m
giving your answers correct to the nearest degrees.

Answer 1

Solution:

» Ø^c = S/r

• a) 12 m

» Ø^c = 12/14 = 6/7

» Ø = 49.09⁰

• b) 19.5 m

» Ø^c = 19.5/14

» Ø = 79.77⁰

• c) 64.2 m

» Ø^c = 64.2/14

» Ø = 262.64⁰

• d) 84.6 m

» Ø^c = 84.6/14

» Ø = 346.09⁰