FLC
Ch 5
Ex 23
Given
and
, evaluate the expression
.
The Circle
A circle is the collection of all points equidistant from a given point , called the center of the circle.
The segment joining any point on the circle to the center is called a radius of the circle.
If two points on a circle are connected with a line segment, that segment is called a chord of the circle. If the chord
passes through the center of the circle, the chord is called the diameter of the circle. Note that
.
The length of the circle is called its circumference, which we usually denote as . Whenever the circumference of a
circle is divided by its diameter, the result is the constant .
Formulas:
Ex 24
A circle has diameter of 15.49 inches. Find the exact area of the circle. Next, use
to estimate
the area, correct to the nearest hundredth of a square inch.
2
Ex 25
How much would it cost to paint a circular tabletop of diameter 15.49 inches if it costs $2/in
? Provide
the exact answer and estimate.
Page 7 of 14