If a sector formed by a central angle of 30 degrees has an area of 49pi/12 squar

Question

If a sector formed by a central angle of 30 degrees has an area of 49pi/12 square centimeters find the radius and arc length ore gradebook in : 0 out of 1 (parts: O) Try another similar question ion reattempt last question below, or select another question. If the sector formed by a central angle of 30° has an area of 49 12 square centimeters, find the radius of the circle. f cm Preview find the arc length. * cm Preview s= Get Help: Points possible: 1 This is attempt 2 of 3. Scoe in gradebook: (0, 0), Out of (0.5, 0.5)

Explanation / Answer

central angle = 30 degrees

area = 49/ 12 pi sq cm

area of sector of circle is 30/360 * pir^2

30/360 * pi r^2 = 49/12 pi

r = 7 cm

radius = 7 cm

b) arc length s = 30/360 * 2 pi* r

= 30/ 360 * 2 pi * 7

arc length = 3.66 cm

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