Question

Hey can you please help me!

Answer 1

Answer:

Step-by-step explanation:

1) Tangent makes 90 degrees with the radius. Hence

a) Angle ABD = 90-angle BDC = 90-61.3 = 28.7

b) Triangle BCD is isosceles since tangents have equal length.

Hence angle BCD = 180-(61.3+61.3) = 57.4

c) Angle BDC = 57.4 (since triangle BCD is isosceles)

d) Angle BAC and Angle BCD are supplementary. Hence angle BAC = 122,6

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2) Arc length of minor arc BC = $\frac{79.3}{360} (24) = 5.287$

b) ARc length of minor arc = circumference -minor arc

= 18.713

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3) circumference = pi d = $3.14(9) = 28.26$