Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014
9a^3b^4 I think
Not sure...
Answer:
<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of books in the children's section at the local library = 500
Ratio 2:3 for picture books and chapter books
2. How many chapter books are in the section?
We will use the Rule of Three Simple for answering this question, this way:
Chapter books Total books
3 5
x 500
x * 5 = 500 * 3
5x = 1,500
x = 1,500/5
x = 300
<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>
<h3>A
nswer:</h3>
after watching a two minute video on how to tell if a relation is a function, I can confidently tell you that the answers are 2, 3, & 4.
<h3>
step-by-step explanation</h3><h3>
</h3>
answers 3 & 4 are the x and y coordinates of the points.
this relation is not a function because it does not pass the vertical line test.
( the vertical line test is where you look at all the vertical lines on the page and check if any of them have multiple dots on them. in this case, the line at x coordinate 1 has dots on both (1, 1) and (1, -1) )
Answer:9*y or 9y
Step-by-step explanation:
