Answer:
circle: 6490.9 cm², quadrant: 1622.7 cm²
Step-by-step explanation:
The circumference of the entire circle is known as 2πr and it is 4 times the given value, since a circle has 4 quadrants:
2πr = 4·71.4 = 285.6, so r = 285.6 / 2π ≈ 45.45
The area of a circle is πr², filling in the value for r we just found:
πr² = π 45.45² ≈ 6490.9 cm²
So the area of a quadrant is one fourth of that:
6490.9/4 = 1622.7 cm²
The question about "its area" can denote the entire circle, or just the quadrant, so two answers are provided.
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
