8-9.7 Convert between Arc Length and Area of Sectors

8-9.7:

Arc Length and Area of Sectors

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I Can: convert between Arc Length and Area of Sectors

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Find the degrees.

A circle has a radius of 5 and an arc length of 4. How many degrees is the central angle?

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I Can: convert between Arc Length and Area of Sectors

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Find the area of circle.

A circle has an area of sector of 36m² with a central angle of 30⁰. What is the area of the circle?

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I Can: convert between Arc Length and Area of Sectors

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I Can: convert between Arc Length and Area of Sectors

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Example 1:

Find the circumference.

A circle has an area of a sector of 36m² with a total area of 75m². The same sector has an arc length of 26 in. What is its circumference?

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Example 2:

Find the area of the sector.

A circle has a total area of 7m² with a circumference of 12 m. The sector has an arc length of 3 m. What is its sector area?

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Example 3:

Find the area of the sector.

A circle has a radius of 4 and Arc Lenght of 2. What is its sector area?

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