Please answer these trig questions. Thanks 1. An arc in a circle subtends a cent

Question

Please answer these trig questions. Thanks

1. An arc in a circle subtends a central angle which has radian measure 1.86 and defines a sector of area 13.2cm2. What is the length of the arc (to the nearest 0.1 cm)? Cm 2. A sector of a circle has area 388.7cm2 and arclength 25cm. What is the radius of the circle (to the nearest 0.1cm)? Cm 3. An arc of length 69cm in a circle of radius 20cm subtends a central angle 0. What is the measure of 0 in degrees (to the nearest 0.1 1.86 Cm 20cm Cm Area 13.2cm 25cm Area 388.7 cm 69cm

Explanation / Answer

1) 17.56 cm (ans)

2) area/length =r/2

r = 388.7/25 *2 =31.096 cm (ans)

3) L =2pi*R*theta/360 = 69

6.28*20*theta = 69*360

theta = 197.77 degree (ans)

4) Length =pi*R^2*theta/360 = 3.14*25*84*25/360 = 457.92 cm^2 (ans)

5) A =pi*R^2*theta = 3.14* 100*theta = 119.1

theta= 0.379 radian (ans)

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