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:
d=7
Step-by-step explanation:
An=A1+(n-1)d
32=11+(4-1)d
32=11+3d
-11+32=3d
21=3d
d=7
Answer:
9
Step-by-step explanation:
a² +b²=c²
a²+40²=41²
a²=41²-40²
a²= 81
a=9
8779.52
Mark brainliest please
Hope this helps you
A 48 pi in 2 It’s pretty easy just find the formula for it and plug the numbers in on a calculator.
