April 2021

A circle of radius 1 unit is shown. AD is the diameter of the circle and O is the center. Find the length of arc BC.
 

In how many ways can 4 couples be seated at a round table with the men and women alternating?

In the figure, $AB = BC$. The value of $\theta$ is:
 

A sector of a circle with radius 10 cm has a central angle of 120°. Find the arc length of the sector.

Convert $5\pi / 6$ into degree measure.

Find the area of a sector of a circle of radius 6 cm and a central angle of 60°.

When the population growth of a certain city was first studied, the population was 22,000. It was found that the population P grows with respect to time t (in years) by the exponential formula $P = 22,000(10^{0.0163t})$. How long will it take for the city to double its population?

If an arc length is 12 m subtends a central angle $\phi$ in a circle of radius 3, find the measure of $\phi$ in terms of radians.

A and B can finish the job in 8 days and the working speed of A is twice that of B. How many days would it take A to finish the job alone?

A group of dancers consists of x boys and x girls. If two of the boys are replaced by two girls, then 48% of the group members will be boys. Find the original value of the boys.