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Chapter 1: Q.47 (page 51)

Find the area of the square in the figure.

Short Answer

Expert verified

The area of the square in the given figure is 18

Step by step solution

01

Step. 1  Given statement

Here square inscribed in a circle , the equation is given.

We have to find out the area of a squre

02

Step 2.  Finding the radius  and diameter

According to the figure equation of a circle x2+y2=9 is given. This equation is the in the form of standard equation of a circle at origin (0,0) and radius r ,x2+y2=r2

Thus here radius r=3 and diameter is 6 , since the diameter is 2times of radius

03

Step.3 Finding area of the square

In this question square is inscribed in a circle and the radius of this circle is 3 , thus diameter is 6.

we can see in the given figure diameter of the circle is the diagonal of a square. So area of a square isA=d22,d=diagonal=622=362=18

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Most popular questions from this chapter

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)2x-3y=6(c)3x+4y=12(d)x-y=1(e)x-y=-1(f)y=-2x-1(g)y=-12x+10(h)y=x+4

If (x,y)are the coordinates of a point P in the xy-plane, then x is called the ________ of P and y is the ________ of P.

Graph the line containing the point P and having slope m.

P(2,1),m=4

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-4,-3);P2=(2,2)

Solve:

x2-4x-12=0
See all solutions

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