A² + √6² = 6² , √30² + √6² = 6² , 30 + 6 = 36 , the answer is B
To find the area of this shape you must first find the area of the rectangle 8 x 13 = 104. Once you find the area of the rectangle you must then find the area of the triangle which is base x height divided by 2. So to find the base of the triangle you must add the 4s on the bottom and subtract it by 13. So 13-8=5 so the base of the triangle is 5, the height is 6 and 5x6 is 30. You then divide it by 2 so you get 15. Now you take the area of the rectangle,104 and subtract it by the area of the triangle, 15. The answer is 89. I hope this helps.
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:
Yes
Step-by-step explanation:
What is Your Discord
I think its not a right triangle because of the cm.
