Question

A clock has a radius of 2 feet and an arc on the clock has a measure of π3 . A student claims that the area of the clock and the length of the subtended arc can be used to calculate te measure of the central arc in radians. Evaluate the student's claim and give an example that either supports or disproves the student's claim.

Answer 1

see below

Explanation:

r=2

arc = 3π

clock area = π r² =4π

circumference = 2πr =4π

subtended arc =3π = 75% of the clock

360° for a full circle so its central angle is 270°