Math / Geometry

QuestionWhat is the radius of this circle? Desk 1

Studdy Solution

STEP 1

What is this asking? How far is it from the center of the circle to its edge? Watch out! Don't mix up radius and diameter!
The diameter is twice the radius.

STEP 2

1. Understand the Circle
2. Find the Radius

STEP 3

Alright, let's visualize this circle!
It's centered smack-dab in the middle of our graph at the origin, which is the point $(0, 0)$ .
That's our starting point for everything!

STEP 4

Now, the circle goes through the point $(0, 10)$ .
This means the circle's edge touches this point.
Imagine drawing a line from the center of the circle to this point.
That line, my friends, is the radius!

STEP 5

So, how do we find the length of that radius line?
Well, the center of the circle is at $(0, 0)$ and the edge touches $(0, 10)$ .
Notice that the x-coordinate is zero for both points!
That means our radius is perfectly vertical.

STEP 6

To find the length, we just look at how much the y-coordinate changes.
It goes from $0$ at the center to $10$ at the edge.
That's a change of $10 - 0 = 10$ .

STEP 7

Therefore, the length of the radius is 10 units!

STEP 8

The radius of the circle is $\bf{10}$ .

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QuestionWhat is the radius of this circle? Desk 1

Studdy Solution

STEP 1

What is this asking? How far is it from the center of the circle to its edge? Watch out! Don't mix up radius and diameter!
The diameter is twice the radius.

STEP 2

1. Understand the Circle
2. Find the Radius

STEP 3

Alright, let's visualize this circle!
It's centered smack-dab in the middle of our graph at the origin, which is the point $(0, 0)$ .
That's our starting point for everything!

STEP 4

Now, the circle goes through the point $(0, 10)$ .
This means the circle's edge touches this point.
Imagine drawing a line from the center of the circle to this point.
That line, my friends, is the radius!

STEP 5

So, how do we find the length of that radius line?
Well, the center of the circle is at $(0, 0)$ and the edge touches $(0, 10)$ .
Notice that the x-coordinate is zero for both points!
That means our radius is perfectly vertical.

STEP 6

To find the length, we just look at how much the y-coordinate changes.
It goes from $0$ at the center to $10$ at the edge.
That's a change of $10 - 0 = 10$ .

STEP 7

Therefore, the length of the radius is 10 units!

STEP 8

The radius of the circle is $\bf{10}$ .

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QuestionWhat is the radius of this circle? Desk 1

Studdy Solution

STEP 1

What is this asking? How far is it from the center of the circle to its edge? Watch out! Don't mix up radius and diameter!The diameter is *twice* the radius.

STEP 2

1. Understand the Circle2. Find the Radius

STEP 3

Alright, let's **visualize** this circle!It's centered smack-dab in the middle of our graph at the **origin**, which is the point (0,0)(0, 0)(0,0).That's our starting point for everything!

STEP 4

Now, the circle goes through the point (0,10)(0, 10)(0,10).This means the circle's edge *touches* this point.Imagine drawing a line from the center of the circle to this point.That line, my friends, is the **radius**!

STEP 5

So, how do we **find the length** of that radius line?Well, the center of the circle is at (0,0)(0, 0)(0,0) and the edge touches (0,10)(0, 10)(0,10).Notice that the *x*-coordinate is **zero** for both points!That means our radius is perfectly vertical.

STEP 6

To find the length, we just look at how much the *y*-coordinate changes.It goes from 000 at the center to 101010 at the edge.That's a change of 10−0=1010 - 0 = 1010−0=10.

STEP 7

Therefore, the length of the radius is **10 units**!

STEP 8

The radius of the circle is 10\bf{10}10.

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What is this asking? How far is it from the center of the circle to its edge? Watch out! Don't mix up radius and diameter!
The diameter is twice the radius.

1. Understand the Circle
2. Find the Radius

Alright, let's visualize this circle!
It's centered smack-dab in the middle of our graph at the origin, which is the point $(0, 0)$ .
That's our starting point for everything!

Now, the circle goes through the point $(0, 10)$ .
This means the circle's edge touches this point.
Imagine drawing a line from the center of the circle to this point.
That line, my friends, is the radius!

So, how do we find the length of that radius line?
Well, the center of the circle is at $(0, 0)$ and the edge touches $(0, 10)$ .
Notice that the x-coordinate is zero for both points!
That means our radius is perfectly vertical.

To find the length, we just look at how much the y-coordinate changes.
It goes from $0$ at the center to $10$ at the edge.
That's a change of $10 - 0 = 10$ .

Therefore, the length of the radius is 10 units!

The radius of the circle is $\bf{10}$ .