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Maths-

General

Easy

Question

Points A and B lie on a circle with radius 1 , and arc $stack A B with overparenthesis on top$ has length $pi over 3$ . What fraction of the circumference of the circle is the length of arc $stack A B with overparenthesis on top$ ?

hint Hint:

Hint:

Arc is the segment of a circle.

Circumference of a circle $2 pi r$ .

The correct answer is: Therefore, The answer is 1/6 .

Explanation:

We have given the length of an arc $stack A B with overparenthesis on top equals pi over 3$ . And the radius is 1

We have to find the what fraction of the circumference of the circle is the length of the arc $stack A B with overparenthesis on top$ .

Step 1 of 1:
We know that the length of the circumference of any circle with a radius r is $2 pi r$ .
Now the circumference of the given circle will be $2 pi$ .
The length of the arc is $stack A B with hat on top equals pi over 3$
So, The fraction of the circumference of the circle is the length of the arc $stack A B with rightwards arrow on top$ will be
$equals pi over 3 divided by 2 pi$
$equals fraction numerator pi over denominator 6 pi end fraction$
$equals 1 over 6$
Therefore, The answer is $1 over 6$ .

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