Question

I need help with 5,6,7 please

Answer 1

Answer:

see explanation

Step-by-step 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 × $\frac{75}{360}$

    = 2π × 7 × $\frac{5}{24}$

    = 14π × $\frac{5}{24}$

    = $\frac{14\pi (5)}{24}$ ≈ 9.2 in ( to the nearest tenth )

(7)

7.5 = 2πr × $\frac{120}{360}$

7.5 = 2πr × $\frac{1}{3}$ ( multiply both sides by 3 to clear the fraction )

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

r = $\frac{22.5}{2\pi }$ ≈ 3.6 ft