Chapter 1
Algebra
Course: Sat Prep
Subject: Math
Chapter: Geometry And Trigonometry
By the end of this lesson, you should be able to:
- Calculate the circumference and area of circles.
- Solve problems involving arcs and central angles.
- Find the length of an arc and the area of a sector.
- Apply the properties of chords and tangents.
- Write and interpret equations of circles.
Questions involving circles often require students to calculate circumference, area, arc length, sector area, or apply properties of chords and tangents. Students are also expected to interpret and write equations of circles on the coordinate plane.
Before studying the individual topics, it is important to understand the basic parts of a circle.
Parts of a Circle
- Center - The fixed point equidistant from every point on the circle.
- Radius (r) - A line segment from the center to any point on the circle.
- Diameter (d) - A line segment passing through the center with endpoints on the circle.
- Circumference - The distance around the circle.
- Chord - A line segment joining two points on the circle.
- Arc - A portion of the circle's circumference.
- Sector - A region enclosed by two radii and an arc.
- Tangent - A line touching the circle at exactly one point.