find the degree measure of a central angle subtended by an arc of 8.00cm in a circle with circumference 20.0cm

Ø/360 = 8/20

Ø = 360(8/20) = 144°

Thank you

If a savings account accounts for 9.2% of a budget, what is its central angle measurement?

If a savings account accounts for 9.2% of a budget, what is its central angle measurement?

To find the degree measure of a central angle subtended by an arc, we can use the formula:

θ = (arc length / circumference) * 360°

Given:
Arc length (l) = 8.00 cm
Circumference (C) = 20.0 cm

First, we need to substitute the given values into the formula:

θ = (8.00 cm / 20.0 cm) * 360°

Now we can calculate:

θ = (0.4) * 360°
θ = 144°

Therefore, the degree measure of the central angle subtended by the arc of 8.00 cm is 144°.