Question

What is the exact area and arc length of these sectors? Please helppp

Answer 1

Answers with step-by-step explanation:

1. Area of sector 1 =
`(90)/(360) * \pi * 12^2 = 36\pi`

2. Area of sector 2 =
`(45)/(360) * \pi * 19^2 = (2527)/(8) \pi`

3. Area of sector 3 =
`(270)/(360) * \pi * 15^2 = (675)/(4) \pi`

4. Area of sector 4 =
`(270)/(360) * \pi * 6^2 = 27 \pi`

5. Arc length of sector 1 =
`(90)/(360) * 2 * \pi * 12 = 6\pi`

6. Arc length of sector 2 =
`(315)/(360) * 2 * \pi * 19 = (133)/(4) \pi`

7. Arc length of sector 3 =
`(270)/(360) * 2 * \pi * 15 = (45)/(2)\pi`

8. Arc length of sector 4 =
`(270)/(360) * 2 * \pi * 6 = 9\pi`