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##100## An important property of parallelograms is that consecutive angles are supplementary or that the sum of their measures is ##180##. If we know that two […]

Note that the image below is only for ##x## in Q1. If you wish you should be able to draw it with ##x## in any quadrant. […]

##C=8pi## Just use this: ##C=2piR## The diameter is 8 and the radius is a half of the diameter so the radius is 4 ##C=Circunference## ##pi~=3.14## ##R=radius## […]

Area of a square with side ##a## is ##S = a^2## It’s by definition.

A regular pentagon has an exterior angle of ##72^0## A Pentagon has ##n=5## sides. The sum of the exterior angles of any polygon is always 360 […]

see explanation using appropriate ##color(blue) Addition formula ## ## sin(A B) = sinAcosB cosAsinB ## hence ## sin(pi/2 -theta) = sin(pi/2) costheta – cos(pi/2)sintheta ## now […]

##(pir^2)/2## The typical area for a circle is: ##color(white)(sss)A=pir^2## Divide both sides by ##2## or multiply both by ##1/2## to find the formula for half the […]

I assume the area ##S=233pi## is given not circumference. Then ##V~~4742.12pi## In terms of given circumference ##C## ##V=C/(6pi^2)## The formula for volume of a sphere of […]

The answer is: ##arcsin(sin(7pi/6))=-pi/6##. The range of a function ##arcsin(x)## is by definition ##-pi/2