Amy and her father are playing with a squeaky toy. Amy's father is squeezing the toy in front of Amy. Amy is very excited and re
2 answers:
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Answer:
The circumference of the circle is .
Step-by-step explanation:
A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.
The area of a circle is given by
The formula used to calculate the area of a sector of a circle is:
The circumference of a circle is the distance around the outside of the circle and its given by
We know the central angle = 110º and the area of the sector 50 units squared.
First, we use the formula to calculate the area of a sector to find the radius.
The radius can't be negative. Therefore,
Next, we apply the formula for the circumference of a circle.
From the listed choices, you can prove the series diverges using either the integral or <em>p</em>-series test.
- Integral test:
We have
which diverges to infinity, so the series is divergent.
- <em>p</em>-series test:
The series
converges only for . In the given sum, we have
, so the series is divergent.