Question

A) 78.5 cm

B) 4.7cm

C) 5.8cm

D) 23.0 cm

Answer 1

The answer to this would be B.) 4.7 cm

Explanation:

Arch = (Angle/360)(2
`\pi`r)

= (45/360)(2
`\pi`6)

= (0.125)(12
`\pi`)

=1.5
`\pi`

≈4.71cm (assuming
`\pi` = 3.14)

Since an arch of a circle is just part of the circumference, you just need to multiply the circumference by the measure of the arch's angle divided by 360 (the angle measure of a circle).