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This image shows a quarter circle with a radius of 5 meters, and you are asked to calculate the area of the quarter circle to 1 decimal place (d.p.).

The area of a full circle is given by:

\[
\text{Area of full circle} = \pi r^2
\]

Since the shape is a quarter circle, its area will be:

\[
\text{Area of quarter circle} = \frac{1}{4} \times \pi r^2
\]

Here, \( r = 5 \) meters.

Now, let's calculate this area:

\[
\text{Area} = \frac{1}{4} \times \pi \times 5^2
\]

Let me compute that for you.The area of the quarter circle is \( 19.6 \, \text{m}^2 \) to 1 decimal place.

Would you like further details or have any questions?

Here are 5 related questions you may find interesting:
1. How do you calculate the circumference of a quarter circle?
2. How would the area change if the radius were doubled?
3. What is the area of the corresponding full circle with radius 5 meters?
4. How does the formula for the area of a sector differ from that of a quarter circle?
5. How can the area of irregular shapes be approximated?

**Tip:** Remember, when dealing with sectors or quarter circles, the area is a fraction of the full circle's area based on the angle subtended (e.g., 90° is a quarter, 180° is a half).

Calculate the area of a quarter circle with a radius of 5 meters, rounded to 1 decimal place.

Learn how to calculate the area of a quarter circle with a radius of 5 meters. This step-by-step solution covers key geometry concepts, including the formula for the area of a circle and how to apply it to a quarter circle. Suitable for students in Grades 6-8.

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