Math  /  Geometry

Question13. Find the circumference of the circle with a radius of 5 cm .

Studdy Solution

STEP 1

What is this asking? We need to find the total distance around a circle with a radius of 5 cm. Watch out! Don't mix up radius and diameter!
Remember, the diameter is twice the radius.

STEP 2

1. Recall the formula
2. Plug in and solve

STEP 3

Alright, let's **kick things off** by remembering that super important formula for the circumference of a circle.
It's C=2πrC = 2 \cdot \pi \cdot r, where *C* is the **circumference**, and *r* is the **radius**.
This formula basically tells us that if we wrap the radius around the circle, it would take a little over six of them to go all the way around.
Isn't that neat?

STEP 4

Now, let's **plug in** our **radius**, which is **5 cm**.
So, we have C=2π5C = 2 \cdot \pi \cdot 5.

STEP 5

Let's **multiply** those numbers together! 25=102 \cdot 5 = 10, so we get C=10πC = 10 \cdot \pi.

STEP 6

We can leave our answer in terms of π\pi as 10π10\pi cm, which is perfectly acceptable and often preferred by mathematicians because it's the most precise way to represent the circumference.
But if we want an approximate value, we can use π3.14\pi \approx 3.14.

STEP 7

So, C103.14=31.4C \approx 10 \cdot 3.14 = 31.4.
Our **final answer** is approximately **31.4 cm**.

STEP 8

The circumference of the circle is 10π10\pi cm, which is approximately 31.4 cm.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord