Length of an Arc and Area of a Sector (VCE SSCE General Mathematics): Quizzes

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Length of an Arc and Area of a Sector
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What is an arc?

A curved section of a circle's edge

What is the formula for arc length ss with radius rr and angle θ°\theta°?

s=πrθ180s = \frac{\pi r\theta}{180}

Find arc length: radius 10 cm, angle 120°. (Use π3.14\pi \approx 3.14)

20.9 cm

What is a sector?

A wedge-shaped region of a circle

When a circle is divided by two radii, which is the smaller region?

The minor sector

What is the formula for sector area AA with radius rr and angle θ°\theta°?

A=πr2θ360A = \frac{\pi r^2\theta}{360}

If minor sector angle is 120°, what is the major sector angle?

240°

Find minor sector area: radius 10 cm, angle 120°. (Use π3.14\pi \approx 3.14)

104.72 cm²

What units should arc length and sector area have if radius is in cm?

Arc: cm, Sector: cm²

What denominators do arc length and sector area formulas use?

Arc: 180, Sector: 360

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