Find the area of a square made by touching its
circumference inside a circle of radius 8cm.
(a) 144 cm
(b) 128 cm
(c) 64 cm
(d) 136 cm
Answers
Answered by
1
Answer:
option (b) 128 cm
Step-by-step explanation:
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Answered by
0
Step-by-step explanation:
128cm ²
Let ABCD be the square inscribed by the circle.
∴OA=OB=OC=OD
ABC is a right angled triangle, as OA=8,OB=8
AB=8+8=16
According to Pythagoras theorem,
Square of hypotenuse = Sum of squares of other two sides.
AC ²
=AB ²
+BC ²
As ABCD is a square all the sides are equal, AB=BC
AC ²
=2AB ²
16 ²
=2AB ²
∴AB=8 ²
therefore side of the square =8 ²
Area of square =(8 ²)
2
=128cm ²
2
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