# In a circle of radius 6 miles, the length of the arc that subtends a central angle of 3 radians is?

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- PhilipLv 64 weeks ago
Circle radius, r, = 6 mi. Sector subtends central angle of 3 radians = (3*180/pi)°.

Circle circumference, C, = 2pi*r = 12pi*mi. Arc length of sector = [(3*180/pi)/360]C =

12pi[3*(180/360)/pi]mi = 18 mi.

- rotchmLv 74 weeks ago
Arclen = Radius * angle_(in rads). Some write it as s = rθ

You Are given the radius & angle. Just multiply. Done!

- charlatanLv 74 weeks ago
the length of the arc that subtends a central angle of 3 radians

= 3 * length of chord subtended by angle of 60 deg. at the center.

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- sepiaLv 74 weeks ago
3rad × 180/π = 171.887°

radius = 6 miles

arc length = 12π (171.887/360) = 18 miles

- 4 weeks ago
Forumla for length of a circular arc: s = r*theta

s = 6 miles * 3 radians = 18 miles

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