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.
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.
April 2021
In how many ways can 4 couples be seated at a round table with the men and women alternating?
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:
In the figure, $AB = BC$. The value of $\theta$ is:
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A sector of a circle with radius 10 cm has a central angle of 120°. Find the arc length of the sector.
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.
Convert $5\pi / 6$ into degree measure.
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Find the area of a sector of a circle of radius 6 cm and a central angle of 60°.
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.
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.
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 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.
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.