Question

I need help with 5,6,7 please

Answer 1

see explanation

Explanation:

the arc length of a circle is calculated as

arc = circumference of circle × fraction of circle

(5)

circumference (C) is calculated as

C = 2πr ( r is the radius )

here diameter = 12 , then r = 12 ÷ 2 = 6

C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )

(6)

JK = 2πr ×
`(75)/(360)`

= 2π × 7 ×
`(5)/(24)`

= 14π ×
`(5)/(24)`

=
`(14\pi (5))/(24)` ≈ 9.2 in ( to the nearest tenth )

(7)

7.5 = 2πr ×
`(120)/(360)`

7.5 = 2πr ×
`(1)/(3)` ( multiply both sides by 3 to clear the fraction )

22.5 = 2πr ( divide both sides by 2π )

r =
`(22.5)/(2\pi )` ≈ 3.6 ft