angel0741
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the diagram shows the sector of a circle with centre O and radius 6cm.
MN is a chord of the circle.
Angle MON is 50°.
calculate the area of the shaded segment.
give your answer to three significant figures. optional working out. ​

the diagram shows the sector of a circle with centre O and radius 6cm MN is a chord of the circle Angle MON is 50 calculate the area of the shaded segmentgive y class=

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olumideolawoyin

Answer:

[tex]1.91 {cm}^{2} [/tex]

Step-by-step explanation:

Area of the shaded portion = Area of the sector OMN - Area of the triangle OMN =

[tex] \frac{theta}{360} \times \: \pi \: {r}^{2} - \frac{1}{2}ab \sin(theta) [/tex]

[tex] = \frac{50}{360} \times 3.14 \times {6}^{2} - ( \frac{1}{2} \times 6 \times 6 \times \sin(50)) [/tex]

[tex] = 15.70 - 13.79[/tex]

[tex] = 1.91 \: {cm}^{2} [/tex]

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