Find the length of a 90° arc of a circle with a diameter of 10 m

Question

asked Oct 16, 2023 152k views

1 Answer

Dumamilk · Answer 1 · 2023-10-20T20:34:48+0000

Answer:

7.85 m (3 significant figures)

Explanation:

Formula: arc length =
$2\pi r((\theta)/(360) )$

The radius of a circle is half the diameter, so r = 10 ÷ 2 = 5

Therefore, arc length = 2 x
$\pi$ x 5 x
((90)/(360) )

=
$(5)/(2)\pi$

= 7.853981634...

= 7.85 m (3 significant figures)