The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Therefore, if the circumference of the circle is 37.5 cm, we can solve for r:
37.5 = 2πr
r = 37.5/(2π) = 5.97 cm (rounded to two decimal places)
The length of an arc of a circle is given by the formula L = (θ/360) × 2πr, where θ is the central angle of the arc. Therefore, if the central angle is 150 degrees, we can solve for the length of the arc:
L = (150/360) × 2π × 5.97
L = (5/12) × 2π × 5.97
L = 7.85 cm (rounded to two decimal places)
Therefore, the length of the arc is 7.85 cm.
find the length of an arc of a circle whose circumference is 37.5 cm and central angle is 150 degrees
1 answer
1 answer