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Mathematics 142 first homework
dueFriday, January 10, 2014
1.
semi-circle
C
43◦
D
A
B
center
find values for angles A,B,C, & D
2. A circle has an area of one square centimeter. Calculate the circle’s diameter and
circumference.
3. A central angle A intercepts an arclength of s = 780 miles on a circle of radius 4000
miles. Find the measure of the angle A in radians.
4. A slice from a circular pie has an acute angle of 40◦ and has a crust with a length of ten
centimeters. Find the area of the pie slice.
5. Write down the values of the six
trigonometric functions of the angle A:
( sin A, cos A , etc.)
5
A
8
6. Suppose that tan A =
2
5
(a) Draw a right triangle showing the angle A
and side lengths 2 and 5 in the correct positions.
(b) Use the Pythagoras theorem to find the
length of the last side of the triangle.
(It’s OK to leave this as a square root)
(c) Find the values of cos A and sin A.