Question

give all the formula of chapter areas related to circle

Answer 1

hope this may help u....

Answer 2

$\underline {\blue { Circle :}}$

A circle is a set of points in a plane which is equidistant from a fixed point.

$Let \: radius \: of \: the \:circle = r$

$1. Area \:of \:the \: Circle = \pi r^{2} square\: units$

$2. Area \:of \:the \: Semi \:Circle\\ = \frac{1}{2} \times \pi r^{2} square\: units$

$3. Area \:of \:the \: Quadrant = \frac{1}{4} \times \pi r^{2} square\: units$

$\underline {\pink{ Area \:of \:the \:ring :}}$

$(i) \: Area \:of \:the \:ring \:or \: an \: Annulus \\= \pi R^{2} - \pi r^{2} \\= \pi(R^{2} - r^{2}) \\= \pi(R+r)(R-r)$

$\underline {\orange{ Area \:of \:the \:sector :}}$

$a ) Area \:of \:the \: sector = \frac{\theta}{360\degree } \times \pi r^{2}$

$Where, Sector \:angle = \theta$

$b) Area \:of \:the \: sector = \frac{l \times r}{2}$

$Where, Length \: of \:the \: Arc = l$

$c) Area \: of \:the \: segment \: APB \\= Area \;of \:the \:sector \: OAPB - Area \: of \: \triangle OAB$

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