Answered

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Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.Kiran bought a wedge with a central angle of pi/2 radians and radius 3 inches. What is the area of the top surface of this wedge?

Several Different Cheeses Are For Sale The Cheese Comes In Wedges Shaped Like Sectors Of A Circle All Of The Wedges Are The Same HeightKiran Bought A Wedge With class=

Sagot :

The area of any sector of a circle is

[tex]A=\frac{1}{2}r^2\vartheta[/tex]

Where r is the radius of the circle and theta is the central angle of the sector in the radian measure

[tex]\begin{gathered} r=3 \\ \vartheta=\frac{\pi}{2} \end{gathered}[/tex]

Substitute them in the rule above

[tex]\begin{gathered} A=\frac{1}{2}(3)^2(\frac{\pi}{2}) \\ A=\frac{9}{4}\pi \end{gathered}[/tex]

The area of the top wedge is 9/4 pi square inches

You can use pi = 3.14

A = 7.065 square inches

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