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In this lesson, we will learn how to identify when to use the circumference and area formulas of circles, including arc lengths and sector areas.

Q1:

The area of a circle is 1β539 cm^{2} and the arc length of a sector is 36 cm. Find the area of the sector giving the answer to the nearest square centimeter.

Q2:

A circle has a radius of 4 cm and a segment has a central angle of 5.1 rad. Find the area of the segment giving the answer to two decimal places.

Q3:

A circle π has a radius of 42 cm, where π π΄ and π π΅ are two radii in the circle, and π΄ π΅ = 1 6 c m . Determine the area of the circular sector π π΄ π΅ to the nearest square centimetre.

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