<span>An angle whose vertex is the centre of a circle and whose
sides pass through a pair of points on the circle is called a
</span>
central angle. The following symbol, pronounced “theta”, is
<span>
used to represent a central angle: .
</span>
Each central angle forms an arc length between the points
<span>
that it passes through on the circle.
The arc length of a circle can be found by first calculating
what fraction of the circle is represented by the central angle.
Then you find the circumference of the circle. Finally, you find
the fraction of that circumference.
For example, if a circle has a radius of 10.0 cm and a central
angle of 60°, to calculate the arc length for that angle we must
first determine what fraction of the circle is represented by the
central angle 60°. Since there are 360° in a full circle, we can
find the fraction of a circle by simplifying ; The
sector represents of the circle.
To find the arc length, we now need to find the circumference
</span>
of the circle. Circumference of a circle is equal to 2 r.
C 5 2 r
5 2 10.0
<span>
62.8 cm
The circumference of this circle is about 62.8 cm. To find the
arc length, we need to find of 62.8 cm.
62.8 10.5 cm
The arc length formed by this central angle is about 10.5 cm.
</span><span>
</span>
Answer:
After 59 months the new dryer will pay for itself.
Step-by-step explanation:
Let the new clothes dryer takes 'x' months to pay for itself.
Then the operating cost of the new dryer will be = 15x
Since cost of the new dryer = $590
So, total cost of the dryer in x months = $(590 + 15x)
Now we know old dryer's operating cost is = $25 per month
So, operating cost for x months = 25x
By the time when new dryer's total cost becomes equal to the old dryer's operational cost, the new dryer will pay for itself.
Now we can get the value of x by equating the old dryer's operational cost and the new dryer's total cost.
25x = 590 + 15x
25x - 15x = 590
10x = 590
x = 
x = '59 months'
Answer:
Cody can play maximum number of 12 games.
Answer:
not equivalent
Step-by-step explanation:
solve for x
4-5x=24
-5x=20
x = - 4
5x=20
x = 4
no they are not equivalent
Answer:
Area is the total surface covered by the shape and perimeter is the total length of the shape.
