Answer:
S = 15π = 47.12
length of arc S = 15π
Attached is the image of the arc.
Step-by-step explanation:
Given;
Radius arc r = 10
Angle at the center of arc ⍉ = 3π/2
The length of the arc S can be derived using the formula;
S = r × ⍉
Substituting the values;
S = 10 × 3π/2
S = 30π/2
S = 15π = 47.12
length of arc S = 15π
The measure of first angle is 34 degrees and measure of second angle is 56 degrees
<em><u>Solution:</u></em>
Given that, the exterior sides of two adjacent angles make a right angle
Therefore, these adjacent angles forms 90 degrees
Let the second angle be "x"
The first angle has a measure that is six more than half the second
Therefore,
first angle = 6 + half of "x"
Since these two angles forms 90 degrees,
first angle + second angle = 90
<em><u>Therefore, first angle is:</u></em>
Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees
