Answer:
Arc length = 11.8 cm.
Step-by-step explanation:
Given : A circle with radius = 5 cm , central angle = 135°.
To find : what is the length of arc AB.
Solution : We have given circle with radius = 5 cm , central angle = 135°.
Arc length = \(\frac{theta}{360} * 2*\pi * radius\).
Plug the values radius = 5 cm , central angle = 135°.
Arc length = \(\frac{135}{360} * 2* 3.14 * 5\).
Arc length = \(\frac{135}{360} * 31.4\).
Arc length = 0.375 * 31.4 .
Arc length = 11.775 cm.
Therefore, Arc length = 11.8 cm.
