Formulas
Circumference Formula
What is 2pi r ?
A round shaped figure that has no corner or angles
What is a circle ?
Find the circumference of the circle
What is 56.54866776 inches ?
Find the area of the entire circle
What is
6.25 pi ft^2
Find the coordinates of the centroid of the triangle whose vertices are A( -8,3), B (-5, 0), C (7,9).
What is (-2,4)?
Area of an entire circle
What is A= pi r2 ?
An angle formed by two chords in a circle which have a common endpoint
What is an Inscribed Angle?
Find the arc length of a circle that has a radius of 6 inches and a central angle of 120 degrees
What is 4 pi inches ?
A and B are points on the circle of radius 12 cm, and the measure of arc AB is 60 degrees. Find, to one decimal place, the area of the sector.
What is 75.4 cm2 ?
Find QC if CZ = 5.
What is QC = 10?
Arc Length Formula
What is Arc length =
(Central angle)/(360 degrees) xx 2 pi r
Any angle whose vertex is located at the center of a circle
What is a central angle?
A ball is rolling in a circular path that has a radius of 9 in., as shown in the accompanying diagram. What distance has the ball rolled when the subtended arc is 60 degrees? Express your answer to the nearest hundredth of an inch.
What is 9.42 inches ?
Find the area of a sector whose diameter is 84 cm and the central angle is 60 degrees. Leave your answer in terms of pi.
What is A =
294 pi cm^2
If YP = 20.1, then what is the measure of YC?
What is YC = 6.7 ?
Area of a Sector
What is
(Central angle)/(360 degrees) xx pi r^2
Is a segment of a triangle joining any vertex to the midpoint of the opposite side
What is a Median ?
The arc of a degree measure 180, has an arc length of 6pi cm. What is the radius of the circle on which the arc sits?
What is 6 cm?
Find the area of the sector that is outlined with the bold line.
What is A =
(605)/(6) pi cm^2
In triangle QPR, line QZ, YP, and RX are medians. Which statement is always true?
(A) 3(CZ)= QZ
(B) CZ = ⅓ (QC)
(C) PC = 2 CZ
(D) QC = RC
What is answer choice A?
Formula for finding the coordinates of the centroid of a triangle with 3 vertices
What is centroid =
((X_3 + x_2 +x_1)/(3) , (y_3 +y_2 +y_1)/(3))
The point of concurrency where three medians meet inside of a triangle
What is a centroid ?
The diameter of a circle is 40 inches with an angle of 18 degrees. Find the length of the arc in inches. Express your answer to the nearest tenth.
What is 6.3 in. ?
In circle C, if XCZ is a central angle and XYZ is an inscribed angle and angle XYZ = 58 degrees and radius is 10 inches. Find the area of the sector XCZ. Round to the nearest hundredth.
What is 101.23 in2 ?
Ms. Andree gave a triangular plate with vertices (5, 8), (2, 4) and (8, 3) and a stick to a student. He wants to balance the plate on the stick. Can you help the boy to locate that point which can balance the plate ?
What is (5,5) ?