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 = [tex]\frac{79.3}{360} (24) = 5.287[/tex]
b) ARc length of minor arc = circumference -minor arc
= 18.713
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3) circumference = pi d = [tex]3.14(9) = 28.26[/tex]