The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 54 square inches. Estimate its rad
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Answer:
In brief, apply the pythagorean theorem to show that the distance between the point and the origin is
.
Step-by-step explanation:
The pythagorean theorem can give the distance between two points on a plane if their coordinates are known.
A point is on a circle if its distance from the center of the circle is the same as the radius of the circle.
On a cartesian plane, the unit circle is a circle
- centered at the origin
- with radius
.
Therefore, to show that the point is on the unit circle, show that the distance between
and
equals to
.
What's the distance between and
?
.
By the pythagorean theorem, the distance between and the center of the unit circle,
, is the same as the radius of the unit circle,
. As a result, the point
is on the unit circle.