I have a circular piece of fabric I am going to make a tablecloth. The radius of the fabric is 2 meters. What is the area of the
1 answer:
Answer:
or
12.57
Step-by-step explanation:
I have a <u>circular</u> piece of fabric I am going to make a tablecloth. The <u>radius</u> of the fabric <u>is 2 meters</u>. What is the <u>area</u> of the tablecloth I can make
Essentially, you are attempting to find the area of a circle with a radius of 2 meters.
The formula for an area of a circle is , or pi times radius squared.
Plugging in 2 meters as your radius, that gets your answer to be , or 12.57 in decimal.
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Answer:
See Below.
Step-by-step explanation:
We want to estimate the definite integral:
Using the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule with six equal subdivisions.
1)
The trapezoidal rule is given by:
Our limits of integration are from x = 1 to x = 4. With six equal subdivisions, each subdivision will measure:
Therefore, the trapezoidal approximation is:
Evaluate:
2)
The midpoint rule is given by:
Thus:
Simplify:
3)
Simpson's Rule is given by:
So:
Simplify: