Question

If the arc of circle of radius 15 cm has a length of 25 cm then the angle subtended at center of circle is

Answer 1

Answer:

hlo

your answer is here !

Step-by-step explanation:

Angle subtended by an arc = length of the arc/ radius of the circle. = 15/25 radians. =(21×18)°/11. = (378/11)° =34.36°.

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Answer 2

Answer:

The angle subtended at center of circle is 95.68°.

Step-by-step explanation:

Given the radius of the arc of circle, $r=15cm$

Length of the arc of circle, $r=25cm$

An arc is a part of the circumference of the circle.

The angle subtended by an arc at the center is the angle formed between the two line segments at the center of the circle to the end-points of the arc.

In a circle, the arc length in radians is the angle subtended times the radius of a circle. i.e., $l=\theta\times r$

Thus, the angle subtended is  

$\theta= \dfrac{l}{r} =\dfrac{25}{15}=1.67rad$

The value of 1 radian in degrees is given by

$1\mbox{rad}=\dfrac{180^{o} }{\pi }$

Then 1.67radians is equal to

$1.67\times\dfrac{180^{o} }{\pi }$

$=1.67\times 57.296^{o} \approx95.68^{o}$

Therefore, the angle subtended at center of circle is 95.68°.

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