Question

The circumference of Z is 104 cm. What is the length of xy (the minor arc)?

A. 13 cm
B. 416 cm
C. 52 cm
D. 208 cm
E. 6.5 cm
F. 26 cm

Answer 1

Arc length = 13 cm.

Explanation:

Given : A circle with circumferences = 104 cm , central angle = 45°.

To find : what is the length of arc AB.

Solution : We have given circle with circumference = 104 cm , central angle = 45°.

Arc length =
`(theta )/(360) * circumference`.

Plug the values circumference = 104 cm , central angle = 45°.

Arc length =
`(45 )/(360) * 104`.

Arc length = 0.125 * 104

Arc length = 13 cm .

Therefore, Arc length = 13 cm.

Answer 2

A full circle is 360 degrees.

XY is 45 degrees.

Multiply the circumference by the fraction of the angle:

104 x (45/360) = 13

The answer is A. 13 cm.