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3 years ago

Determine the approximate minor arc length of CD.

Mathematics

1 answer:

zalisa [80]3 years ago

4 0

Step-by-step explanation:

CB is the Hypotenuse of the right-angled triangle CDB.

Pythagoras :

CB² = 20² + 21² = 400 + 441 = 841

CB = sqrt(841) = 29

=> radius = 29/2 = 14.5

the total circumference of the circle (360 degrees) is

2×pi×r = 29×pi

but here we need only the part of the circumference for 180-70= 110 degrees.

CD arc = 29×pi × 110 / 360 = 29×pi×11/36 =

= 27.83800157 ≈ 27.84 cm

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