Analytical Geometry> A square has two of its verticeson a circ...

A square has two of its verticeson a circle and other two on a tangent to the circle. Find area of square if radius of circle is 5cm.

Akshat , 8 Years ago

Grade 9

1 Answers

Ajay

Last Activity: 8 Years ago

Let ABCD be the square with side AB on tangent .

CD will be a chord for circle.

Let M be the mid point of CD, N be mid point of AB and O be the center of the circle, then OM will be be perpendicular to CD.

Side of the square = radius of circle + OM = 5+OM.

SInce CD is also sdie of square M being mid point MD = (5+OM)/2

IN traingle OMD

OM²+MD²=OD²

OM²+ 1/4(5+OM)² = 25

solving for OM , OM = 3.

Hence side of square = 5+3 = 8cm and area = 64cm

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Analytical Geometry> A square has two of its verticeson a circ...

A square has two of its verticeson a circle and other two on a tangent to the circle. Find area of square if radius of circle is 5cm.

Akshat , 8 Years ago

Ajay

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