the length of an arc of a circle with radius 12 cm is 105 cm the angle subtended by the arc at the centre of the circle is
The length of an arc of a circle with radius 12 cm is 105 cm, what is the angle subtended by the arc at the centre of the circle?
Answer:
To find the angle subtended by an arc at the center of a circle, you can use the formula:
\text{Angle} = \frac{\text{Arc Length}}{\text{Radius}}
Given that the radius of the circle is 12 cm and the arc length is 105 cm, you can substitute these values into the formula:
\text{Angle} = \frac{105}{12}
\text{Angle} = 8.75 \text{ radians}
Therefore, the angle subtended by the arc at the center of the circle is 8.75 radians.