1. use the image of the circle to identify the length of the radius, diameter, and circumference. leave all answers in terms of π when necessary.

Radius =  r = 7.5

Diameter = d = 15

Circumference = C = 15π

Step-by-step explanation:

We are given the image of a circle with a straight line passing through the center of the circle and touching its edges. Such a line is known as the diameter of the circle. From the image we can see the length of the diameter of the circle is d = 15 units.

Radius is define as half of the diameter. Since the diameter is 15 units, the radius of the given circle will be half of 15 which is r = 7.5 units.

Circumference of the circle = C = 2πr

Using the value of radius(r), we can write the circumference as:

C = 2π(7.5) = 15π

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm