the diameter of a semi-circular protractor is 28 cm, then find its perimeter.
Answers
22cm
Step-by-step explanation:
diameter=28cm, radius=28/2=14cm, perimeter=1/2×22/7×14=22cm
Given: Diameter of a semi-circular protractor = 28 cm
To find: Perimeter of the protractor
Solution: According to the given question,
Diameter of the semi-circular protractor = 28 cm
.: Radius = Diameter/2
= 28/2 = 14 cm
.: Perimeter of semi-circle = πr + 2r
[Semi-circle is half of a circle. It's perimeter includes half of a circle's perimeter i.e., half of 2πr which is πr and diameter]
[π = 22/7, r = 14 cm]
Perimeter of semi-circular protractor = x 14 + 2 x 14
= 22 x 2 + 28
= 44 + 28 = 72
Therefore, the perimeter of semi-circular protractor is 72 cm.