A chord subtends an angle of $60^\circ$ at the centre of a circle of radius $8\text{ cm}$. A stu

Question

A chord subtends an angle of $60^\circ$ at the centre of a circle of radius $8\text{ cm}$. A student uses degree mode and writes $A_{\text{minor segment}}=\dfrac12(8)^2(60-\sin60^\circ)$. Explain the error in this calculation.[2] Calculate the correct area of the minor segment, giving your answer correct to 3 significant figures.[3]

Accepted Answer

(a) The sector formula requires radians. (b) $5.80\text{ cm}^2$.

Angle units in a segment calculation

Angle units in a segment calculation

Solution:

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