What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm?
2 answers:
Answer:
the measure in radians for the central angle of a circle is, 0.8
Explanation:
Formula for arc length is given by:
....[1]
where
r is the radius and is in radian.
As per the statement:
radius is 9 cm and intercepted arc length is 7.2 cm
r = 9 cm and l = 7.2 cm
Substitute these in [1] we have;
Divide both sides by 9 we have;
Therefore, the measure in radians for the central angle of a circle is, 0.8
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Answer:
6 cm
Step-by-step explanation:
The area of a triangle is , where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.
Let's plug in these values.
Now, let's solve this algebraically.
Step 1: Multiply both sides by 2.
Step 2: Divide both sides by 4.
Step 3: Check if solution is correct.
Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)
Have a lovely rest of your day/night, and good luck with your assignments! ♡