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
Answer:
No.
Step-by-step explanation:
She wronged in Step 2, -2x + 2 = 8 .
The correct way is :
-2(x+1) = 8
-2x <u>–</u> 2 = 8
Ans: 20.25
can convert the mixed numbers fractions to improper fractions before making the denominators the same and coming up with the answer in decimals
hope this helps:))
Uh oh, this is a problem right ok whta is thus
Answer:
4b² - 16
Step-by-step explanation:
The formula to find the area of a parallelogram equals 
, where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.
Therefore, the answer is 4b² - 16.
