Answer:
x² + y² = 34
Formula:
<u>Here find the radius using distance formula</u>: → origin : (0, 0)
<u>Thus the equation of circle</u>:
The total area of the blades is the area of a triangle multiplied by 4.
We have then:
Where,
b: base of the blades
h: height of the blades
Substituting values we have:
Doing the calculation we have that the area of the blades is given by:
Answer:
The total area of the blades is:
Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x = and x = 1
Thus, we get coordinates: and (1, 4)