Suppose $LK$ is tangent to circle $J$ at point $K$. If the distance from the center $J$ to point $L$ is $10$ units and the distance from $L$ to $K$ is $6$ units, what is the length of the radius of the circle?

In a circle with center $O$ and radius $20$ inches, if the measure of angle $SOV$ is $72°$, what is the length of minor arc $SV$?

In right triangle $MLO$, angle $MLO$ measures $112°$. What is the measure of angle $MLP$?

Given a right triangle with angles measuring $15°$, $29°$, and $136°$, what is the measure of the smallest angle?

If a sector of a circle has a central angle of $72°$, what is the ratio of the area of the sector to the area of the entire circle?

Given a right triangle with angle $A$, which of the following expressions can be used to find the measure of angle $A$? Select three options.

A circle has a radius of $10$ inches and a central angle of $3\mathrm{rad}$. What is the approximate length of the arc $s$ subtended by this angle? Choose the closest value.

Given two right triangles $△abd$ and $△dca$, which congruency theorem can be used to prove that they are congruent? Choose from: $\text{SSS}$, $\text{ASA}$, $\text{SAS}$, or $\text{AAS}$.

In a right triangle, which pair of angles shares ray $AF$ as a common side? Choose the correct pair from the options below.