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How do you find area of sector if angle is 0.4 rad and adjacent angle/radius is 10?

1 Answer

Sep 7, 2017

$20 {units}^{2}$ $20" units"^2$

Explanation:

Area of sector is

$A_{s} = \frac{1}{2} r^{2} θ$ $A_s=1/2r^2theta$

$r = the radius$ $r="the radius"$
$θ = the angle in radians$ $theta="the angle in radians"$

$A_{s} = \frac{1}{2} \times 10^{2} \times 0.4$ $A_s=1/2xx10^2xx0.4$

$A_{s} = \frac{1}{2} \times 100 \times 0.4 = \frac{1}{2} \times 40 = 20 {units}^{2}$ $A_s=1/2xx100xx0.4=1/2xx40=20 "units"^2$

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