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Finding Radius of a Sector in a Circle

Learn how to find the radius of a sector in a circle, given its area and arc length. Explore formulas for arc length and area of a sector. Solve practice examples with different scenarios.

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Finding Radius of a Sector in a Circle

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  1. 7.2 – Sectors of Circles Essential Question: How do you find the radius of a sector given its’ area and arc length?

  2. Sector of a Circle • the region bounded by a central angle and its intercepted arc.

  3. Formulas for Arc Length and Area of a Sector:

  4. Example • A sector of a circle has radius 6 cm and central angle .5 radians. Find its arc length and area.

  5. Example A sector of a circle has central angle 30° and arc length 3.5 cm. Find its area. Round to the nearest hundredth.

  6. Example A sector of a circle has area 88 cm2 and central angle 0.4 radians. Find its radius and arc length.

  7. Example A sector of a circle has perimeter 16 cm and area 15 cm2. Find all possible radii and arc lengths.

  8. Example A phonograph record with diameter 12 in. turns at 33 rpm. Find the distance that a point on the rim travels in one minute.

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