Question

3. (i) The radius of a circle is 40 cm. Find the angle subtends by an arc of 22 cm at the centre
of circle in degrees.
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Answer 1

Answer:

99/π degrees

Step-by-step explanation:

angle( in radians not degrees) = arc/radius

angle=22/40=11/20 radians

we now obtained the angle but in radians and not degrees. and the question wants it to be in degrees

so we convert it to degrees

we know that

360 deg = 2π rad                      rad=radians   deg=degrees

180 deg= π rad

1 rad = 180/π deg

multiplying both sides by 11/20 rad

11/20 rad= 11/20 * 180/π

11/20 rad= 99/π deg

therefore angle = 99/π degrees