Consider a circle with a 9 centimeter radius and an arc subtended by an angle measuring 70°.What is the length of the arc that corresponds to the subtended angle described?
To find the length of the arc, we can use the formula:
Arc Length = (angle/360) x 2πr
Substitute the values given in the question:
Arc Length = (70/360) x 2π(9) = (7/36) x 18π = 3.5π cm
Therefore, the length of the arc corresponding to the subtended angle of 70° is 3.5π cm or approximately 10.99 cm.