Area of Circles and Sectors Calculation
Explore the concept of calculating the areas of circles and sectors with visual examples. Learn how to find the areas of shaded regions and segments within circles using radius and arc measurements. Understand tangents to circles and their relationships with lines. Discover practical applications such as determining distances from observation decks to horizons.
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Presentation Transcript
10.7: Area of Circles and Sectors
A sector of a circle is some region created by an arc of the circle and the radii going to its endpoints.
What is the area of the wrestling ring below?
What is the area of the shaded sector?
A segment of a circle is the portion of a circle formed by connecting two endpoints of an arc directly.
What is the area of the shaded segment?
What is the area of the shaded segment?
What is the area of the shaded segment?
Theorem 12.1, 12.2: A line is tangent to a circle if and only if the line is perpendicular to the radius at the point they intersect
ED is a tangent line to O. What is the measure of x?
If ML and MN are tangent to O, what is the value of x?
The CN Tower in Canada has an observation deck 447 meters above the surface of the earth how far from the deck to the horizon? The earth has a radius of about 6,400 km. (447 meters = 0.45 km)
What is the perimeter of the triangle below?
If the perimeter of the triangle is 88 cm, what is the length of QY?
Homework: Area Worksheet Quiz retakes on Friday
