Five Identical semicircles are arranged as shown. Find the diameter of one circle
1 answer:
The diameter of one circle is 28 units
Find the diagram shown below:
Considering the semi-circle at the centre.
- Let the unknown distance from the left be x:
- Let the unknown distance from the right be y:
To get the value of "x"
x + 16 = 22
x = 22 - 16
x = 6
To get the value of "x"
16 +y = 22
y = 22 - 16
y = 6
Diameter of one of the circle = x + 16 + y
Diameter of one of the circle = 6 + 16 + 6
Diameter of one of the circle = 28
Hence the diameter of one circle is 28 units
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Answer:
An equation is 92 + 2x = 180.
The congruent angles each measure 44°.
Step-by-step explanation:
1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.
2. To find the measure of each congruent angle, x, we have to solve the equation above.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 92 from both sides.
Step 3: Divide both sides by 2.
x = 44 means that the congruent angles each measure 44°.