Slope:2, y- intercept: 4
2 answers:
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Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
from 1 to b and applying the FTC:
Multiplying everything by 2 to get rid of the denominators gives you:
See below for the examples of sectors and arcs of a circle
<h3>Area of sector of a circle</h3>The area of a sector is calculated as:
---- when the angle is in degrees
---- when the angle is in radians
Take for instance, we have the following problems involving sector areas
Calculate the area of a sector where the radius of the circle is 7, and
- The central angle is 30 degrees
- The central angle is π/12 rad
- The central angle is 90 degrees
- The central angle is π/4 rad
- The central angle is 180 degrees
Using the above formulas, the sector areas are:
1.
2.
3.
4.
5.
The length of an arc is calculated as:
---- when the angle is in degrees
---- when the angle is in radians
Take for instance, we have the following problems involving arc lengths
Calculate the length of an arc where the radius of the circle is 7, and
- The central angle is 30 degrees
- The central angle is π/12 rad
- The central angle is 90 degrees
- The central angle is π/4 rad
- The central angle is 180 degrees
Using the above formulas, the arc lengths are:
1.
2.
3.
4.
5.
The examples include:
- A parabolic path
- Distance in a curve
- Curved bridges
- Pizza
- Bows
Read more about arc and sectors at:
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