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$\mathrm{A}$ square $\mathrm{ABCD}$ is inscribed in a circle of radius 4. A point $\mathrm{P}$ moves inside the circle such that $d(\mathrm{P}, \mathrm{AB})_{\leq} \min .(d(\mathrm{P}, \mathrm{BC}), d(\mathrm{P}, \mathrm{CD}), d(\mathrm{P}, \mathrm{DA}))$ where $d(\mathrm{P}, \mathrm{AB})$ is the distance of a point $\mathrm{P}$ from the line $\mathrm{A B}$ . The area of the region covered by point $\mathrm{p}$ is
Option: 1
$4 \pi$ square units

Option: 2
$2 \pi^{2}$ square units

Option: 3
$2 \pi$ square units

Option: 4
$(8 \pi-16)$ square units

Answers (1)

best_answer

Required area is shaded portion

$=\frac{1}{4} \pi(4)^{2}=4 \pi$

Posted by

Ritika Harsh

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