Answer:
On a unit circle, the point that corresponds to an angle of 
is at position 
.
The point that corresponds to an angle of 
is at position 
.
Step-by-step explanation:
On a cartesian plane, a unit circle is
- a circle of radius
, - centered at the origin
.
The circle crosses the x- and y-axis at four points:
Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.
When the angle is equal to 
, the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be .
To locate the point with a angle, rotate the segment counter-clockwise by . The segment would land on the positive y-axis. In other words, the -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be .
Answer:
20
Step-by-step explanation:
Technically cats only have one life even though they can survive falls and such
Answer:
21.6 km/hr
Step-by-step explanation:
multply the speed value by 3.6
Answer:
150
Step-by-step explanation:
Steps below in pic
Answer:
Radius = 8 units
Length of arc AB = 8.37758 units
Step-by-step explanation:
The sector COD is 1/4 the size of the circle.
the vertex angle is 90° and a circle has 360° at the center.
So the area of sector COD/area of Circle = 90/360 = 1/4
This means the area of the circle is 4 * 50.24 = 200.96 square units
Area of circle = πr² where r is the radius
πr² = 200.96
r² = 200.96/ π = 63.9676 ≅ 64
Therefore r = √64 = 8 units
The circumference of the circle is 2πr = 16π units
arc AB has a vertex angle of 30°.
30°/360° = 1/6
So the length of the arc is 1/6th the circumference of the circle =
(1/6) * 16π = 2.67π units or 8.37758 units
, and
.
