Question

1. Find the length of the arc subtended by the following angles and the area of the wedges. For each, draw a graph of the angle in standard position, labeling the arc length in each drawing. o 37 degrees of a circle with radius 2. 0-100 degrees of a circle with radius 3/5. 07/3 radians of a circle with radius e. o 57/4 radians of the unit circle.

Answer 1

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s a) Given 0=37* r=2 We have to find are lenght and area of the cold wedges. We have to draw graph of circle. Are lenght Are lenght Sie zurro 370 22 8237' Area A SK 20X2X 37 360 Is=1.29 Area - B 112ro 377 Area - Trex 37 350 Area = 1:29 り Radicy r=3 Angle = -106 -100 And laught sa zoro 360 S-20X3x 100 20133 * 380

S= 1.847 Arca A= Dr2xo 360 ODOX (3)?x100 306 = 0.314 Aspe Area A= 0.314, O- I rad radius rze G Othad me Are lenghil sero Szexy 52185 Area Az {20 A={ x ² X 11 Area A- | Area A = 3.87 d) Given, Angle da sT rad प 12 st Radius ral

Are lenght saro 5.IX 577 T 5=3.93 Arra As Irma As 51 y Area A= 1.96