lesson 7-2 sectors of circles. objective: to find the arc length and area of a sector of a circle...
TRANSCRIPT
Objective:
To find the arc length and area of a sector of a circle and to
solve problems involving apparent size.
Suppose we have a sector like the one shown:
When working with formulas involving sectors; r, s and θ are the variables involved. θ must
always be in terms of radians to be used appropriately.
1260°
s
Suppose we have a sector like the one shown:
Therefore, before you attempt to find s, r, or the area of a sector; first convert θ to radian
measure if it is not already done so.
1260°
s
A sector of a circle has arc length 6 cm and area 75 cm2. Find its radius and the
measure of its central angle.
When there is nothing in our field of vision against which to judge the size of an
object, we perceive the object to be smaller when it is farther away. For example, the sun is much larger than the moon, but we perceive the sun to be about the same size as the moon because the
sun is so much farther from Earth.
So, how big an object looks depends not only on its size but also on the angle that it subtends at
our eyes.
So, how big an object looks depends not only on its size but also on the angle that it subtends at
our eyes.
The measure of this angle is called the object’s apparent size.
Jupiter has an apparent size of 0.01° when it is 8 x 108 km from Earth. Find the
approximate diameter of Jupiter.