<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:
1/144
step explanation:
(-1/12)^2 is -1/12 multiplied by itself twice. When multiplying fractions you can multiply straight across. When two negatives are multiplied together it makes a positive, so the answer is 1/144.
Answer:
Step-by-step explanation:
The given rational function is
Let
Interchange x and y
Cross multiply
Expand
Solve for y;
or
Therefore
16, with the factors– 1, 2, 4, 8, and 16 itself
