Question

the radius of a circle is 7 cm. what is the measurement of the angle in degree subtended by an arc of 22/3 cm at the center of the circle

Answer 1

Explanation:

To find the angle subtended by an arc of length 22/3 cm at the center of a circle with radius 7 cm, we can use the formula:

angle (in radians) = arc length / radius

First, we need to convert the arc length to radians by dividing it by the radius:

22/3 cm / 7 cm = 22/21 radians

Now we can convert radians to degrees by multiplying by 180/π:

angle (in degrees) = (22/21) x (180/π) ≈ 190.8 degrees

Therefore, the angle subtended by an arc of 22/3 cm at the center of a circle with radius 7 cm is approximately 190.8 degrees.