50 : ) a dog that has been tethered has a 20 foot lead makes the path shown here. if the length of the path is 45 feet, the measure of angle 0 is radians.

The measure of angle theta is

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

we have

substitute

step 2

Find the measure of angle theta

we know that

The circumference of a circle subtends a central angle of

so

using proportion

Find out the measure of the central angle by a length of arc equal to 45 ft

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: