A square is inscribed in a circle of radius
7 cm. Find the area of the square.
Answers
Answer:
98 cm
2
Given,
Radius of the circle=7cm
Let the side of the square be acm.
A square when inscribed in a circle then the diameter of the circle must be diagonal of the square.
Therefore,
Diagonal of square=
a
2
+a
2
=
2
a
Now,
Diameter of the circle=2×7
=14cm
=>
2
a=14
=>a=
2
14
=>a=7
2
cm
Therefore,
Area of square=a
2
=(7
2
cm)
2
=(7
2
cm)(7
2
cm)
=98cm
2
Answer:
98 cm²
Step-by-step explanation:
Given,
Radius of the circle=7cm
Let the side of the square be acm.
A square when inscribed in a circle then the diameter of the circle must be diagonal of the square.
Therefore,
Diagonal of square=
a
2
+a
2
=
2
a
Now,
Diameter of the circle=2×7
=14cm
=>
2
a=14
=>a=
2
14
=>a=7
2
cm
Therefore,
Area of square=a²
=(7²
cm) ²
=(7²
cm)(7 ²
cm)
=98cm²
hope it's helpful to you!