The circumference of a circle is 60 cm. What is the length of an arc with central angle 90°.
Answers
Answered by
8
Answer:
the answer is : 15
Step-by-step explanation:
the angle of the total circle is 360° so we want the length of the arc with central angle 90°
so we can calculate it easily
360° -----> 60cm
90° -----> X
X = (90*60)/360= 15 cm
Answered by
0
Given:
Circumference=60 cm
Central angle with the arc=90°
To find:
The length of the arc
Solution:
The required length is 15cm.
The given circle forms a complete angle of 360°.
So, its boundary's length is the same as its circumference.
We are given the angle made by the arc is 90°.
The arc's length=angle made by the arc/360°×circle's circumference
Using the values,
Arc's length=90°/360°×60
=1/4×60
=60/4
=15cm
Therefore, the arc's required length is 15 cm.
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