Expert answer:Trigonometry Area and Length

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trig_unit4_section4_area_and_length_assignment.pdf

trig_unit4_section4_area_and_length_assignment.pdf

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Assignment: Area and Length
Suppose you and a friend are studying for an exam about the topics in this section. The two of you decide
to create a practice guide on how to solve these types of problems.
Write a practice guide by writing one problem for each of these three topics:
 Find the area of a triangle using one of the following formulas:
1
bc sin A
2
1
K = ab sin C
2
K=
K=
1
ac sin B
2
K=
1 2 sin B sin C
a
2
sin A
1 2 sin A sin C
b
2
sin B
1 2 sin A sin B
K= c
2
sin C
K=
Hero’s Formula: K =


s ( s − a )( s − b )( s − c )
Find the arc length of an arc given the measure of the corresponding central angle and the
radius of the circle.
Find the area of a sector given the measure of the corresponding central angle and the radius
of the circle.
Write a problem for each topic, including all information needed to solve the problem. Then write the
solution to the problem, showing all the steps needed to find the solution. Include a sentence that
describes the solution based on the original problem.
© K12 Inc.
© K12 Inc.
Assignment: Area and Length
Suppose you and a friend are studying for an exam about the topics in this section. The two of you decide
to create a practice guide on how to solve these types of problems.
Write a practice guide by writing one problem for each of these three topics:
 Find the area of a triangle using one of the following formulas:
1
bc sin A
2
1
K = ab sin C
2
K=
K=
1
ac sin B
2
K=
1 2 sin B sin C
a
2
sin A
1 2 sin A sin C
b
2
sin B
1 2 sin A sin B
K= c
2
sin C
K=
Hero’s Formula: K =


s ( s − a )( s − b )( s − c )
Find the arc length of an arc given the measure of the corresponding central angle and the
radius of the circle.
Find the area of a sector given the measure of the corresponding central angle and the radius
of the circle.
Write a problem for each topic, including all information needed to solve the problem. Then write the
solution to the problem, showing all the steps needed to find the solution. Include a sentence that
describes the solution based on the original problem.
© K12 Inc.
© K12 Inc.
…
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