Circular Measure

Find the perimeter of the shaded region.

Find the area of the shaded region.

It is given that the area of the triangle $ABC$ is $4\text{ cm}^2$ and the area of the sector $ABC$ is $8\alpha\text{ cm}^2$.

Find the exact area of the shaded segment.

It is given instead that the length of the chord $BC$ is $\frac{1}{\sqrt{2}}r\text{ cm}$ but the area of the triangle $ABC$ is still $4\text{ cm}^2$.

Find the area of the shaded segment. Give your answer correct to 3 significant figures.

Find the perimeter of the shaded region $BCD$, giving your answer correct to 1 decimal place.

Find the area of the shaded region $BCD$, giving your answer correct to 1 decimal place.

Find the exact value of $\theta$.

Find the exact area of the segment $PXQ$.

Find an expression for the perimeter of the design. Give your answer in terms of $\pi$ and $r$.

It is now given that the perimeter of the design is $200\text{ cm}$.

Find the area of the design. Give your answer to 3 significant figures.

Show that the length $EF = 2.4\text{ cm}$.

Find the area of the plate. Give your answer correct to 3 significant figures.

It is given instead that the perimeter of the plate is $6\text{ cm}$.

Find the value of $r$. Give your answer correct to 3 significant figures.

Given that $\theta = 1.2$, find the area of the metal plate. Give your answer correct to 3 significant figures.

Given instead that the area of each semicircle is $50\pi\text{ cm}^2$, find the exact perimeter of the metal plate.

Find the perimeter of the shaded region.

Find the area of the shaded region.