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Sagot :
Answer: 10π or 3.18
Step 1: Write equation
To solve for the radius, we must first find the equation. We will use the formula for a circumference. The circumference is equal to 2 times pi (π) times the radius. Let’s write the equation now.
C=2πr
Step 2: Substitute information
Before we find the radius, we must first substitute the information provided to us. In this case, we can substitute c for 20, as that is the circumference.
C=2πr
20= 2πr
Step 3: Solve for the radius
Now that we have steps one and two done, we can solve for the radius. Let’s start by rewriting the equation.
20= 2πr
Great! Now let’s get rid of the constant on the right side. Let’s divide each term by 2.
20= 2πr
10= πr
Now let’s move the pi side to the left. Divide each term by pi to do so.
10= πr
10π= r
This is your answer! If desired, you could divide the term by pi to get the proper answer of 3.18. Since this is not an option provided, I will leave the answer as 10π, assuming that the teacher would like you to leave the pi symbol.
Step 1: Write equation
To solve for the radius, we must first find the equation. We will use the formula for a circumference. The circumference is equal to 2 times pi (π) times the radius. Let’s write the equation now.
C=2πr
Step 2: Substitute information
Before we find the radius, we must first substitute the information provided to us. In this case, we can substitute c for 20, as that is the circumference.
C=2πr
20= 2πr
Step 3: Solve for the radius
Now that we have steps one and two done, we can solve for the radius. Let’s start by rewriting the equation.
20= 2πr
Great! Now let’s get rid of the constant on the right side. Let’s divide each term by 2.
20= 2πr
10= πr
Now let’s move the pi side to the left. Divide each term by pi to do so.
10= πr
10π= r
This is your answer! If desired, you could divide the term by pi to get the proper answer of 3.18. Since this is not an option provided, I will leave the answer as 10π, assuming that the teacher would like you to leave the pi symbol.
The radius of the steering wheel is 10 inches.
What is a circle?
A circle is the defined as a closed, two-dimensional curved shape in the geometry. Every point on the circle is equal distance from a certain point known as the centre of circle. A circle is a two-dimensional form that is measured in terms of radius.
What is the circumference of a circle?
Circumference of a circle is defined as perimeter of circle is defined as the enclosing boundary of a curved geometrical figure called a circle. It is the product of π and its diameter.
Circumference (C) = π × d , where d is the diameter of a circle.
Given data as :
Circumference of a steering wheel of a car = 20π inches
Circumference(C) = 20π inches
Substitute the value of c in formula of Circumference :
20π = π × d [ diameter(d) = 2 radius(r) ]
20π = π × 2 r
Divided by 2π both the sides
10 = r
r = 10
r = 10 inches
Hence, the radius of the steering wheel is 10 inches.
Learn more about Circumference of a circle here :
https://brainly.com/question/17357009
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Question seems to be incomplete the correct question would be
The circumference of a steering wheel of a car is 20π inches. What is the radius of
the steering wheel?
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