in the given figure ABCD is a square of side 5cm inscribed in a circle find the radius of the circle and the area of the shaded portion
Answers
Answer:
Diagonal AC is the diameter of the circle with centre O
∴OC=OA= radius of the circle.
Given,
AB=AC=5 cm
△ABC is a right-angled triangle.
∴AC
2
=AB
2
+AC
2
=5
2
+5
2
=25+25
=50cm
⇒AC=5
2
∴OA=OC=
2
AC
Radius =
2
5
2
Area of square =AC
2
=5
2
=25
Area of circle =πr
2
=3.14×(
2
5
2
)
2
=3.14×
4
50
=39.25
∴Area of the shaded region = Area of circle − Area of square
=39.25−25
=14.25 cm
Step-by-step explanation:
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Answer:
See the attachment...
Radius = √50/2CM
And area of shaded region
= 100/7CM^2
OR 14.28cm^2
