Question

Is it true to say that area of a square inscribed in a circle of diameter p cm is p2 cm2? Why?

NCERT Class X
Mathematics - Exemplar Problems

Chapter _AREA RELATED TO CIRCLES

Answer 1

Answer:

$\green { Given \: statement \:is \: \orange {False}}$

Step-by-step explanation:

$Let \: diameter \: of \: a \: circle = p\:cm$

$If \: a \: square \: inscribed \: in \:a \:circle\\then \\\blue {Diagonal \: of \: the \: square} \\= \orange {Diameter \: of \: the \: circle }=p$

$\red { Area \: of \: the \: square}$

$= \green { \frac{(diagonal)^{2}}{2}}$

$=\green {\frac{p^{2}}{2}}$

Therefore.,

$\green { Given \: statement \:is \: \orange {False}}$

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