Alch176idn
Answered

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What is the radius of a circle measures 25 m. Calculate the angle between the tangents to the circle, drawn at the ends of a chord with a length of 36 m.

What Is The Radius Of A Circle Measures 25 M Calculate The Angle Between The Tangents To The Circle Drawn At The Ends Of A Chord With A Length Of 36 M class=

Sagot :

Kaizoku00idn
the radius is equal to 25 m stated in the drawing

by cosine law
angle O = arccos( 25^2 + 25^2 - 36^2)/ 2(25)(25) = 92.11 degree

solving angle T
we need angle B & A
angle A=angle B = arccos( 25^2 + 36^2 - 25^2)/ 2(36)(25) = 43.95 degree

for the another triangle
since the tangent line is 90 degree to the radius
90 - 43.95 = 46.05 degree = angle A & B on the another triangle

for angle T
angle T + angle A + angle B = 180
angle T = 180 - 46.05 + 46.05 = 87.9 degree