2022 WAEC Mathematics Theory A chord subtends an angle of 72º at the centre of a circle of radius 24.5m....

A chord subtends an angle of 72º at the centre of a circle of radius 24.5m. Calculate the perimeter of the minor segment. [Take π = \(\frac{22}{7}\)

From ΔOKB

sin 36° = \(\frac{|KB|}{24.5}\)

|KB| = 0.5878 x 24.5

=14.4011m

Length of arc = \(\frac{72}{360} * 2 *{\frac{22}{7}} * 24.7\)

=30.8m

Perimeter = 2(14.4011) + 30.8

= 59.6022

= 59.6m

{{ settings.no_comment_msg ? settings.no_comment_msg : 'There are no comments' }}