Answer:
18.85 rounded
Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
L / Θ = C / 2π
As circumference C = 2πr,
L / Θ = 2πr / 2π
L / Θ = r
We find out the arc length formula when multiplying this equation by Θ:
L = r * Θ
Hence, the arc length is equal to radius multiplied by the central angle (in radians).
Answer:
3:4
Step-by-step explanation:
You divide both sides by 2: 6/2:8/2=3:4.
Answer:
DF is your answer. Hope this helps!
Step-by-step explanation:
Solution:
<u>Note that:</u>
- Area of square = s² (s = Side length)
<u>Finding the leg of a square with area of 369 units²</u>
- c² = 369
- => c = √369 units
<u>Finding the leg of a square with area of 81 units²</u>
- b² = 81
- => b = √81 = 9 units
<u>Finding side length a using Pythagoras theorem</u>
- (√369)² = 9² + a²
- => 369 = 81 + a²
- => 369 - 81 = a²
- => 288 = a²
- => a = √288 = √144 x 2 = √12 x 12 x 2 = 12√2 units
<u>Finding the missing area of the square.</u>
- Area of square = a²
- => Area of square = a² = (a)²
- => Area of square = (12√2)²
- => Area of square = (12√2)(12√2) = 288 units²
Option D is correct.
