Question

the area of a circle is 154 cm square find the area of a square inscribed in the circle​

Answer 1

Answer:

98cm^2

Step-by-step explanation:

area of circle=πr^2

154=22/7*r²

r=7

diagonal of square =7 cm

side=7√2

area=98cm²

Answer 2

The area of a square inscribed in the circle is 98 cm².

To find :

The area of square inscribed in the circle.

Given :

If the area of a circle = 154 cm². (Given)

            Area of circle = π r²

                            154  = π r²

                               $r^{2}$  = 49

                                 r =  $\sqrt{49}$

                                r = 7

Square is inscribed in the circle,

Where,        Diagonal of the square = diameter of the circle

                   Diagonal = 2 r

                                   = 2 × 7

                 Diagonal = 14

To find side of the square :

Side of the square = $\frac{Diagonal}{\sqrt{2} }$

                               = $\frac{14}{\sqrt{2} }$      

                              = $\frac{7 \times 2}{\sqrt{2}}$

Area of the square = 7$\sqrt{2}$

Hence, the area of the square = side²

                                                   = 7$\sqrt{2}$ × 7

                                                   = 49 × 2

                         Area of square = 98

Thus, the area of square inscribed in the circle is 98 cm².    

To learn more...

1. brainly.in/question/14798238

2. brainly.in/question/14703549