Given the polar curves $r=7 \sin \left(\theta \right)$ and $r=7 \cos \left(\theta \right)$, what is the area of the region that lies inside both curves?

If the sum of the interior angles of a polygon is $3420°$, how many sides does the polygon have?

How many sides does a polygon have if the sum of its interior angles is $1440°$?

Given the polar curve $r=4+3\cdot \sin \theta$, what is the area enclosed by one complete loop of the curve?

Given the polar curves $r=5\sin \left(\theta \right)$ and $r=5\cos \left(\theta \right)$, what is the area of the region that lies inside both curves?

Given the polar curve $r=4\sin \left(5\theta \right)$, what is the area enclosed by one loop of the curve?

Given the polar curves $r=3\sin \left(\theta \right)$ and $r=3\cos \left(\theta \right)$, what is the area of the region that lies inside both curves?

Given the polar curves $r^2=18\cdot \sin \left(2\theta \right)$ and $r=3$, what is the area of the region that lies inside both curves?

Find the area of the triangle: $A=30\(\degree\)$, $b=10m$, $B=80\(\degree\)$.