Circles and Sectors (Leaving Cert Mathematics): Quizzes

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Circles and Sectors
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What is the diameter of a circle if its radius is 88 cm?

1616 cm

What is the formula for the area of a circle?

πr2\pi r^2

What is the formula for the circumference of a circle?

2πr2\pi r

When calculating with π\pi, what should you use for the most accurate result?

Calculator's π\pi key

What is a sector of a circle?

A slice between two radii and an arc

What does x360\frac{x}{360} represent in sector formulas?

Fraction of the whole circle

What is the formula for the area of a sector with angle xx degrees and radius rr?

x360×πr2\frac{x}{360} \times \pi r^2

What is the arc length formula for a sector with angle xx degrees and radius rr?

x360×2πr\frac{x}{360} \times 2\pi r

If a circle has area πr2=100\pi r^2 = 100 cm², what is r2r^2?

100π\frac{100}{\pi}

What is the area formula for a semi-circle with radius rr?

πr22\frac{\pi r^2}{2}

What is the arc length of a quarter circle with radius rr?

πr2\frac{\pi r}{2}

What is the correct unit type for the area of a circle?

Square units (e.g., cm²)

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