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Setler79 [48]
2 years ago
8

If XY = 78 miles and mXY = 70°, then determine the radius of circle H.

Mathematics
1 answer:
tankabanditka [31]2 years ago
3 0

Answer:

r ≈ 187. 70 miles

Step-by-step explanation:

The picture represent the question. XY is an arc and it is 78 miles . mXY = 70° . The length of the arc is known and the center angle is also known .We can use the formula for length of arc to get the radius of the circle.

length of arc = ∅/360 × 2πr

where

∅ = 70°

r = ?

length of the arc = 78 miles

78 = 70/360 × 2πr

78 = 140/360 ×  3.14 × r

78 = 43.96/36 × r

78 = 14.96r/36

cross multiply

14.96r = 2808

r = 2808/14.96

r = 187.70053476

r ≈ 187. 70 miles

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