Area of Circles and Sectors (HSC SSCE Mathematics Standard): Quizzes

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Area of Circles and Sectors
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What is the formula for the area of a circle with radius rr?

A=πr2A = \pi r^2

An annulus is best described as which shape?

A ring shape

In the annulus formula A=π(R2r2)A = \pi(R^2 - r^2), what does capital RR represent?

Radius of the outer circle

Two concentric circles have radii 44 cm and 66 cm. What is the annulus area (nearest cm²)?

6363 cm²

What shape is a sector of a circle?

A slice like pizza

What is the formula for the area of a sector with central angle θ\theta and radius rr?

A=θ360πr2A = \frac{\theta}{360}\pi r^2

In the sector formula, what does θ360\frac{\theta}{360} represent?

Fraction of the full circle

What is the central angle of a semicircle?

180°180°

What is the area formula for a quadrant with radius rr?

A=14πr2A = \frac{1}{4}\pi r^2

A sector has angle 55°55° and radius 22 cm. What is its area (to 1 d.p.)?

1.91.9 cm²

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