If radius = 5.4 then circle circumference = 5.4*2*PI =
<span>
<span>
<span>
33.9292</span></span></span>
60 degrees is one sixth of a circle so the arc length = 33.9292 / 6
So the arc length =
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<span>
5.654</span></span></span>9 m
Answer:
(x - 2)² + (y - 7)² = 26
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The coordinates of the centre are at the midpoint of the endpoints of the diameter and the radius is the distance from the centre to either of the 2 endpoints
Find the centre using the midpoint formula
centre = [ (- 3 + 7), (8 + 6)] = (2, 7)
to find the radius use the distance formula
r = √(x₂ - x₁)² + (y₂ - y₁)²
with (x₁, y₁ ) = 2, 7) and (x₂, y₂ ) = (7, 6)
r = = =
centre (2, 7 ) and r² = ()² = 26, hence
(x - 2)² + (y - 7)² = 26 ← equation of circle
Mara has 19 shells. I hoped this helped! Mark as branliest if possible!
Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
13. you can round decimals when it comes to money