A sector of a circle with radius 7 cm has a central angle of 150^\circ. The two radii and the chord form a triangle of area \dfrac{49}{4} cm^2. Using area of segment = area of sector − area of triangle, find the exact area of the minor segment in cm^2.

\dfrac{245\pi}{12} - \dfrac{49}{4}

\dfrac{245\pi}{12} + \dfrac{49}{4}

EM-2147

Area of a segment

E Math · Secondary 4 · Medium · Area of a segment

A sector of a circle with radius 7 cm has a central angle of

150^\circ

. The two radii and the chord form a triangle of area

\dfrac{49}{4}

^2

.

Using area of segment = area of sector − area of triangle, find the exact area of the minor segment in cm

^2

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