See below for the proof that the areas of the lune and the isosceles triangle are equal
<h3>How to prove the areas?</h3>
The area of the isosceles triangle is:
Where r represents the radius.
From the figure, we have:
So, the equation becomes
Evaluate
Next, we calculate the length (L) of the chord as follows:
Multiply both sides by r
Multiply by 2
This gives
The area of the semicircle is then calculated as:
This gives
Evaluate the square
Divide
Next, calculate the area of the chord using
Recall that:
Convert to radians
So, we have:
This gives
The area of the lune is then calculated as:
This gives
Expand
Evaluate the difference
Recall that the area of the isosceles triangle is
By comparison, we have:
This means that the areas of the lune and the isosceles triangle are equal
Read more about areas at:
brainly.com/question/27683633
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Answer: 1/4 cups of butter
Step-by-step explanation:
You need 1/2 cups of butter for every 2 eggs.
When a question asks for the unit rate, it means what quantity of the other variable is needed per 1 unit of the variable in question.
In other words, how many cups of butter are needed per egg.
= Cups of butter / no. of eggs
= 1/2 ÷ 2
= 1/4 cups of butter
Answer:
15 nickles 12 quarters
Step-by-step explanation:
The two angles are vertical from each other, we know this because they are directly across from one another
Answer:
C≈65.97ft
Step-by-step explanation:
You welcome