All About Theorems
Figure me out
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Circle Potpourri
Sector area and Arc Length
100
The measure of a central angle is equal to this.
What is the measure of the intercepted arc?
100
If the measure of inscribed angle ABC is 77.5 degrees, this is the measure of its intercepted arc.
What is 155 degrees?
100
The measure of Arc AB.
What is 135 degrees?
100
When these creatures lose their pheromone trail, they herd together and go in circles until they become exhausted and die.
What are ants?
100
The length of arc PQ in terms of
pi
3pi
200
When two chords intersect inside a circle, you should perform these mathematical steps to find the angle.
What is add the intercepted arcs and divide by 2?
200
If ARC RST is 91.6 degrees, this is the measure of its central angle.
What is 91.6 degrees?
200
The value of x.
What is 68 degrees?
200
This is the 6th digit of PI, the 5th number after the decimal.
What is the number 9?
200
The area of the shaded sector to the nearest tenth.
What is 5.2 yd2?
300
When a secant and a tangent intercept OUTSIDE of a circle, you should perform these mathematical steps to find the measure of the angle they form.
What is subtract the smaller intercepted arc from the larger one and divide by 2?
300
Quadrilateral ABCD is inscribed inside of a circle and Angle C is 114.5 degrees. This is the measure of angle A.
What is 65.5 degrees?
300
The value of x.
What is 10?
300
This popular soda brand has a circle for a logo filled with red, white, and blue sections inside the circle.
What is Pepsi?
300
The measure of theta to the nearest degree.
What is 143 degrees?
400
When a tangent and a chord intersect ON a circle, this is the measure of the angle formed.
What is one half the intercepted arc?
400
Triangle JKL is inscribed inside of a circle with right angle K. This is the measure of angle L's intercepted arc given that angle J is 23 degrees.
What is 134 degrees?
400
The measure of Angle B.
What is 95.5 degrees?
400
This famous CIRCULAR architectural wonder in England was used as ancient burial grounds as early as 3000B.C.
What is Stonehenge?
400
The radius of the circle to the nearest tenth.
What is 8.4m?
500
When an inscribed right triangle is formed inside of a circle, this is what the hypotenuse must be.
What is the diameter?
500
Angle D is formed by two intersecting tangent lines. Given that the major arc formed by the tangent lines is 235 degrees, this is the measure of Angle D.
What is 62.5 degrees?
500
The measure of AD.
What is 17/2 or 8.5?
500
Aliens must also be aware of PI as evidenced by these perfectly created calling cards they have left behind in random places all around the world.
What are "crop circles"?
500
Given the arc length above, this would be the sector area to the nearest cm2.
What is 30cm2?