Circles
What is the difference between a chord and the radius?
Radius is any segment with one endpoint at the center and the other endpoint on the circle, while a chord is any line segment connecting one point on a circle to another point on the circle.
What is the perimeter of a right triangle with side lengths of 5, 12, and 13.
30
The Pythagorean theorem can only be use with right triangles?
True or False
True
What are the two types of special right triangles?
30-60-90
and
45-45-90
What is the area of this irregular polygon?
(Picture)
192
What is the area of the largest circle that can fit into a square that has a side length of 16 inches?
201 in
What is the area of a triangle with a height of 5 in and a base length of 12 in?
30 in
Describe one Pythagorean triplet.
3-4-5
5-12-13
8-15-17
What is the ratio of the sides of the 45-45-90 triangle?
1 : 1 : √2
or
a : a : a√2
What is the measure of angle d?
(Picture)
27°
What is the area of a circle with a diameter of 11 inches?
95 in
What is the angle measure of each of the angles in an equilateral triangle?
60°
What is the hypotenuse of the right triangle when the side lengths are 16 and 63.
65
What is the ratio of the sides of a 30-60-90 triangle?
1 : 2 : √3
or
x : 2x : x√3
What is the sum of the angles of the interior angles of a 7 sided polygon?
Hint: (n-2)*180
900°
Find the arc length when the degree of the arc is 130° and the radius is 4 units.
Hint: arc length = n/360 × 2πr
26π/9
What is a scalene triangle?
A triangle with three different sides of different lengths.
If the hypotenuse of a right triangle is 13 and one of the leg lengths is 5, then what is the length of the other leg?
12
If on a 30-60-90 triangle the hypotenuse is equal to 20, then what are lengths of the two other sides.
10 and 10√3
If sin(A) = 4/5, then what is sin(C)=?
(Draw Picture)
3/5
Find the circumference of a circle with an area of 201 inches.
Hint: C = 2πr
50.27 in
Which of the following lengths of the three sides of a triangle make an obtuse triangle?
3,3,3
3,4,4
2,2.5,4
4,5,5
2, 2.5 ,4
What is the hypotenuse of a right triangle with side lengths of 5.
7.07
If on a 45-45-90 triangle the hypotenuse is 15√2, then what is the length of the other two sides?
15
Using the Previous Triangle picture, what would be the degrees of angle C?
ex.
Using tan
tan-1(3/4) = 36.87°