Circular measure

The perimeter of the shaded sector is equal to the length of the major arc, $ACB$.

Find the exact value of $\alpha$.

The area of the shaded sector is $18(\pi^2 - 1)$.

Find the exact value of $r$.
Simplify your answer.

Find, in terms of $r$ and $\theta$, the area of the shaded region $BCDE$.

The diagram shows the shape from part (a) with region $OABEF$ shaded.
Find, in terms of $r$ and $\theta$, the perimeter of the shaded region.

Show that $\theta = 0.75$.

Find the perimeter of the shaded region.

Find the area of the shaded region.

Show that the obtuse angle $ACB$ is 2.35 radians, correct to 2 decimal places.

Find the perimeter of the shaded region.

Find the area of the shaded region.

Find the values of $r$ and $\theta$.

Find the area of the shaded region. Give your answer correct to 1 decimal place.

Find the perimeter of the badge.

Find the area of the badge.

Find the value of $\theta$.

Find the perimeter of the shaded region.

Find the area of the shaded region.

Find the obtuse angle $AOB$, giving your answer in radians.

Find the perimeter of the shaded region.

Find the area of the shaded region.

Show that the angle $AOB$ is 1.70 radians correct to 2 decimal places.

Find the perimeter of the shaded shape.

Find the area of the shaded shape.