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klasskru [66]
3 years ago
15

Type the correct answer in the box. Assume that π = 3.14, and round your answer to the nearest integer.

Mathematics
2 answers:
Vinil7 [7]3 years ago
4 0

Answer: 648 yards.

Step-by-step explanation:

Given: Central angle = 280°

Radius = 35 yards

The length of arc with central angle x and radius r is given by :-

l=\dfrac{x}{360^{\circ}}\times2\pi r\\\\\Rightarrow\ l=\dfrac{280}{360}\times2\pi(35)\\\\\Rightarrow\ l=171.042266\approx171\text{ yards}

Total distance = 171 +45 = 216 yards

Now, if David runs around the field three times, he covers a distance = 3\times216 =648\text{ yards.}

KengaRu [80]3 years ago
3 0
Length of an arc of a circle:
L = n° / 360° · 2 r · π = 280°/360° · 2 · 35 · 3.14 
L = 170.9 yards 
170.9 + 45 = 215.9 
3 · 215. 9 = 647.7 ≈ 648 
... he covers the distance of 648 yards.
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