A central angle measuring 120° intercepts an arc in a circle whose radius is 3.
1 answer:
Answer:
6.28
Step-by-step explanation:
The length of arc which subtends an angle at the center of a circle is given by
where r is the radius of circle.
______________________________
given
the central angle of arc is 120°
we will use value of as 3.14
r = 3
Length of this arc is
The length of the arc to the nearest hundredth of unit is 6.28
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Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so
we have
substitute
solve for x
therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF
we have
so
therefore
The ratio of the area of ∆ABC to the area of ∆DEF is