What is the length of arc S shown below? The angle in the figure is a central angle in radians.
1 answer:
You might be interested in
<u>Given</u>:
The given ratio is
We need to determine three ratios that are equivalent to the given ratio.
<u>Option A</u>:
The given ratio is
Let us divide the given ratio by 2.
Thus, we have;
Hence, the expression is equivalent to
Thus, Option A is the correct answer.
<u>Option B</u>:
The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.
Thus, multiplying the ratio by 2, we get;
Thus, the expression is equivalent to
Hence, Option B is the correct answer.
<u>Option C</u>:
Let us divide the given ratio by 4.
Thus, we have;
Thus, the expression is equivalent to
Hence, Option C is the correct answer.
<u>Option D</u>:
The number 12 goes by 16 in times and the number 8 goes by 12 in
times.
The ratios are multiplied by different numbers.
Thus, the expression is not equivalent to
Hence, Option D is not the correct answer.
<u>Option E</u>:
The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.
The ratios are multiplied by different numbers.
Thus, the expression is not equivalent to
Hence, Option E is not the correct answer.
Therefore, the equivalent ratios are Option A, B and C