Question

Chords and arcs - What is the measure of angle a?

a) 11.7 degrees
b) 12.9 degrees
c) 12.5 degrees
d) 13.1 degrees

Answer 1

The measure of angle a can be found using the formula: Measure of angle a = (arc length/radius) x 180° / π. Substituting the given values, we calculate that angle a is approximately 12.9 degrees.

Step-by-step explanation:

To find the measure of angle a, we need to determine the central angle corresponding to the given chord or arc. Since the measure of an arc is equal to the measure of its central angle, we can use the formula: Measure of angle a = (arc length/radius) x 180° / π. Substituting the values given for the arc length and radius, we get the Measure of angle a = (1.0 m / 0.70 m) x 180° / π. Calculating the expression, the measure of angle a is approximately 12.9 degrees. Therefore, the correct option is b) 12.9 degrees.