this triangle has 3 sides one is 12, lets call this side a²
another side is 72, lets call this side c²
this triangle must follow Pythagoras therom if it is right angled, that is a²+b²=c²
where a and b are the two shorter sides and c is the longest side (called the hypotenuse) opposite the right angle
to find the last side you do 72² - 12² = 5040
but it is the square root of 5040 which is 70.99 (two decimal places) if you want it in decimal form, if you want it in surd form it is √5040
Quick answer Sin(570) = - 1/2
Comment
570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.
Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.
What is 570° (∅) degrees equivalent to?
We keep on subtracting 360 until we get a number between 0 and 360 inclusive.
Written this way 0 ≤∅≤360
570 - 360 = 210°
So we need to find the equivalent of 210°
Method
210° = 180° + 30°
This means that ∅ is 30° below the x axis in the 3rd quadrant.
Sin(30) = 1/2
In the third quadrant, the sine is minus. so
sin(210°) = - 1/2 <<<<<<< Answer
We know that
DF is the diameter of the circle
so
radius r=DF/2----->20/2-----> r=10 in
area of the circle=pi*r²------> pi*10²-----> 100*pi in²-----> 314 in²
the answer is
100*pi in² or 314 in²
Answer:0.0057
Step-by-step explanation:
