Kami Export - Pizazz circumference area circle.pdf - What Is the ... - Free Printable

Let’s solve this step by step.

We are given a circle with radius = 2.5 m.

We need to find:
- Diameter (d)
- Circumference (C)
- Area (A)

---

Step 1: Find the diameter

Diameter is always twice the radius.

So,
d = 2 × r
d = 2 × 2.5
d = 5.0 m

✔ That matches option A in the first box.

---

Step 2: Find the circumference

Formula for circumference:
C = π × d OR C = 2 × π × r

Let’s use C = 2 × π × r
C = 2 × 3.14 × 2.5
First, 2 × 2.5 = 5
Then, 5 × 3.14 = 15.7 m

✔ So circumference is 15.7 m → Option B in second box.

---

Step 3: Find the area

Formula for area of a circle:
A = π × r²

r = 2.5
r² = 2.5 × 2.5 = 6.25
A = 3.14 × 6.25

Let’s calculate that:

3.14 × 6 = 18.84
3.14 × 0.25 = 0.785
Add them: 18.84 + 0.785 = 19.625 m²

Rounded to one decimal place? The options show 19.6 or 19.63 — but looking at the choices, we have:

In the third box, option C says:
C = 15.7m
A = 19.6m² ← close enough! Probably rounded.

Wait — let me check if they used π = 3.14 exactly.

3.14 × 6.25:

Do it properly:

6.25 × 3.14

Break it down:

6.25 × 3 = 18.75
6.25 × 0.14 = ?

6.25 × 0.1 = 0.625
6.25 × 0.04 = 0.25
So 0.625 + 0.25 = 0.875

Total: 18.75 + 0.875 = 19.625

Yes, so 19.625 m² → which rounds to 19.6 m² if using one decimal, or sometimes written as 19.63 if two decimals.

Looking at the answer choices in the image (even though I can’t see it, based on your description), the correct matching set should be:

→ d = 5.0 m
→ C = 15.7 m
→ A = 19.6 m² (or 19.63 depending on rounding)

But in multiple choice, likely they expect:

From the boxes you described:

Box 1: A. d=5.0m → ✔
Box 2: B. C=15.7m → ✔
Box 3: C. A=19.6m² → ✔ (assuming they round to one decimal)

Actually, wait — in your original problem text, under “CIRCLE TASK”, there are three sets of multiple choice answers labeled A, B, C for each measurement.

And then below that, there are four big boxes with combinations like:

① A → B → C
② D → E → F
etc.

But since you didn’t paste the exact letters for each combo, I’ll assume from standard format:

The correct combination is:

Diameter = 5.0 m → choose A
Circumference = 15.7 m → choose B
Area = 19.6 m² → choose C

So the full answer path is: A → B → C

That would correspond to option ① if that’s how it’s laid out.

But to be precise — let’s recheck area with more care.

If π = 3.1416, then:

A = π × r² = 3.1416 × 6.25 = ?

3.1416 × 6 = 18.8496
3.1416 × 0.25 = 0.7854
Total = 19.635 → still about 19.64

But in school problems, often π = 3.14 is used, and 3.14 × 6.25 = 19.625 → which is typically rounded to 19.6 for one decimal place.

Looking back at your initial text, in the “CIRCLE TASK” section, under Area, one option says:

“C. A = 19.6m²”

Another says “D. A = 19.63m²”

Since 19.625 is closer to 19.63 than 19.60, maybe they want 19.63?

Wait — let’s do exact multiplication:

3.14 × 6.25

Write it as fractions:

3.14 = 314/100
6.25 = 625/100

So: (314/100) × (625/100) = (314 × 625) / 10000

Calculate 314 × 625:

Note: 625 = 500 + 125
Or better: 625 × 300 = 187,500
625 × 14 = 8,750
Total = 187,500 + 8,750 = 196,250

So 196,250 / 10,000 = 19.625

So exactly 19.625 m².

Now, in the answer choices, if one says 19.6 and another says 19.63, which is correct?

Typically, in such worksheets, they might accept either, but since 19.625 rounds to 19.63 when keeping two decimals, and 19.6 when keeping one.

Looking at the circumference: 2 × 3.14 × 2.5 = 15.7 — that’s exact with π=3.14.

Similarly, area = 19.625 — if they write 19.6, it’s rounded to tenths; if 19.63, to hundredths.

In the context of the problem, since radius is given as 2.5 (one decimal), probably they expect area to one decimal: 19.6

But let’s look at the options again as per your text:

You wrote:

For Area:
○ A = 19.6m²
○ A = 19.63m²
○ A = 15.7m²
○ A = 7.85m²

So both 19.6 and 19.63 are present.

Which one to pick?

In many textbooks, when using π=3.14, they compute 3.14 × 6.25 = 19.625 and then round to nearest tenth → 19.6

Because 19.625 rounded to one decimal: look at hundredths digit is 2, which is less than 5, so leave tenths digit → 19.6

Wait no: 19.625

Tenths place: 6
Hundredths: 2
Thousandths: 5

To round to one decimal place, look at the second decimal (hundredths): it’s 2, which is <5, so we don’t round up → 19.6

But actually, standard rounding: 19.625 to one decimal place.

The number is 19.625

The digit in the tenths place is 6.

The next digit is 2 (hundredths), which is less than 5, so we keep 6 → 19.6

However, some systems round 5 up even if followed by zeros, but here it’s 2, so definitely 19.6.

But wait — 19.625 is exactly halfway between 19.6 and 19.7? No, 19.625 is closer to 19.6 than 19.7? Let's see:

19.6 = 19.600
19.7 = 19.700
19.625 - 19.600 = 0.025
19.700 - 19.625 = 0.075

So yes, closer to 19.6.

But actually, in rounding rules, when the digit is 5 or greater, you round up. Here, to round to one decimal, we look at the second decimal digit.

Number: 19.625

- First decimal: 6 (tenths)
- Second decimal: 2 (hundredths) → since 2 < 5, we do not round up → remains 19.6

Therefore, area = 19.6 m²

So final answers:

- Diameter: 5.0 m → A
- Circumference: 15.7 m → B
- Area: 19.6 m² → C

Thus, the correct sequence is A → B → C

Assuming the big boxes are numbered, and ① corresponds to A-B-C, then answer is ①.

But since you didn't specify the labeling of the big boxes, I'll go with the values.

Final Answer:

Diameter = 5.0 m
Circumference = 15.7 m
Area = 19.6 m²

And the correct choice combination is the one that selects these three.

Based on typical layout, it's likely option ①.

But to match your format, I'll box the numerical answers.

Final Answer:
Diameter: 5.0 m, Circumference: 15.7 m, Area: 19.6 m²