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

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 65 cm F 26 cm class=

Respuesta :

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.

Answer:

Arc length = 13 cm.

Step-by-step 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 = [tex]\frac{theta }{360} * circumference[/tex].

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

Arc length = [tex]\frac{45 }{360} * 104[/tex].

Arc length = 0.125 * 104

 Arc length  = 13 cm .

Therefore,  Arc length = 13 cm.