Sectors (Leaving Cert Mathematics): Quizzes

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Sectors
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What is the formula for arc length in radians?

l=rθl = r\theta

How do you calculate sector area with radians?

A=12r2θA = \frac{1}{2} r^2\theta

Which formula gives the arc length in degrees?

l=2πr×Θ/360l = 2\pi r \times \Theta/360

How is sector area found in degrees?

A=πr2×Θ/360A = \pi r^2 \times \Theta/360

What is the relation between radians and degrees?

1 rad=180°/π1 \text{ rad} = 180°/\pi

Calculate arc length for r=10cmr=10cm, θ=π/4θ=π/4 rad.

s=5π/2s=5π/2 cm

Calculate sector area with r=6r=6 cm, θ=π/3\theta=\pi/3.

A=62×π/3/2A=6^2\times\pi/3/2

What is the simplified formula for arc length in radians?

l=rθl = r\theta

How to find the sector area in radians?

A=12r2θA = \frac{1}{2} r^2\theta

If a sector has radius 88 cm and angle 46°46°, what is the radian?

0.8030.803 rad

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