Definitions
A segment that connects any point on the circle with the center of that circle.
What is a radius?
What is the area of a circle with a radius of 3?
The area of the circle is 9 pi.
What is the circumference of a circle with a radius of 1?
2 pi.
Tangent segments to a circle from the same point are congruent.
A line, coplanar with the circle, intersects the circle at exactly one point.
What is a tangent?
What is the area of a semicircle with a radius of 12?
The area of the semicircle is 72 pi.
What is the circumference with a radius of 6?
12 pi.
Ch 6.1, #6c. Name the most useful theorem and solve the problem.
8 pi minus 8 root 3.
A triangle inscribed in a semicircle.
A line that intersects that circle at two distinct points.
What is a secant?
What is the area of a 3/4 circle with a radius of 6 cm?
The area of the 3/4 circle is 24π cm².
What is the circumference of a semicircle with a radius of 8?
8 pi.
Explain the theorem, 'Triangle inscribed in a semicircle'.
If a triangle is inscribed in a semicircle so that one of its sides is a diameter, then the triangle is a right triangle.
A part of the interior of a circle bounded by the sides of a central angle and its corresponding arc.
What is a sector?
What is the area of the sector that has a central angle of 36 degrees with a radius of 15?
The area of the sector is 22.5 pi.
What is the circumference of a 3/4 circle with a radius of 16?
24 pi.
Explain the theorem, 'Radius to the point of tangency'.
If a line is tangent to a circle, then the radius to the point of tangency is perpendicular to that line.
The segment drawn from an exterior point to the center of a circle is the angle bisector of the angle formed by the tangent segments from that point.
What is a corollary?
DOUBLE JEOPARDY!!!!!!!!
Ch 6.2 #16a
40 pi.
DOUBLE JEOPARDY!
What is the circumference of a 6/7 circle with a radius of 67
804/7
Ch 6.2 #23a
Proof check