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
Lol do your own work. Pay attention in class, it'll pay off ;)
Answer:
2x + 3 )(x + 2 )
Step-by-step explanation:
2x² + 7x + 6
Find two numbers multiplied together to get 6
and if you multiply one by 2, the answer is 7:
Tested:
6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No
2 & 3 and 2 · 2 + 3 = 7 Yes
2x² = 2x & x
all signs are positive
trinomial factoring ( )( )
( + )( + )
2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)
The largest number goes with the 2x.
Therefore (2x + 3 )(x + 2 )
Check 2x(x + 2) + 3(x + 2)
2x² + 4x + 3x + 6
2x² + 7x + 6 checked
It looks like there aren't many great matches for your search
Tip: Try using words that might appear on the page you’re looking for. For example, "cake recipes" instead of "how to make a cake."
Need help? Take a look at other tips for searching on
