Engineering Board Exam Reviewer · Circles: Arcs and Angles · medium

An arc of a circle measures 72° and has a length of 8 cm. Find the radius of the circle.

  1. 6.37 cm
  2. 5.09 cm
  3. 7.64 cm
  4. 3.18 cm

Answer

A. 6.37 cm

Solution

s=r 8=r≤ft(72×π/180 )=r(1.2566) r 6.37 cm.

More Circles: Arcs and Angles questions

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  2. Find the length of a chord that subtends a central angle of 90° in a circle of radius 8 cm.
  3. Two circles of radius 10 have centers 10 units apart. Find the area common to both circles.
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  6. A tangent and a chord meet at a point on a circle and intercept an arc of 100°. Find the angle between the tangent and the chord.
  7. Two secants drawn from an external point intercept arcs of 140° (far) and 40° (near) on a circle. Find the angle between the secants.
  8. Two chords intersect inside a circle. One of the angles they form and its vertical angle intercept arcs of 70° and 110°. Find the measure…
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