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Read the pie chart showing the type of flower planted By a farmer in his field and answer the given question If the total number of flower planted is 1200  a)What is the fraction of roses planted?

The pie chart provided in the image shows the distribution of different types of flowers planted by a farmer. The chart includes angles corresponding to each type of flower, which we can use to calculate the fraction of roses planted.

### Given:
- Total number of flowers planted = 1200
- Angle representing roses = 112.5°

### Step 1: Find the total angle of the pie chart.
The total angle of a pie chart is always \( 360^\circ \).

### Step 2: Calculate the fraction of roses planted.
The fraction of roses is given by the ratio of the angle representing roses to the total angle of the pie chart:

\[
\text{Fraction of roses} = \frac{\text{Angle representing roses}}{\text{Total angle of pie chart}} = \frac{112.5^\circ}{360^\circ}
\]

\[
\text{Fraction of roses} = \frac{112.5}{360} = \frac{25}{80} = \frac{5}{16}
\]

So, the fraction of roses planted is \( \frac{5}{16} \).

Would you like further details, or do you have any other questions?

### Related Questions:
1. What is the fraction of tulips planted?
2. How many jasmine plants are there if the total number of flowers is 1200?
3. What is the percentage of marigolds planted in the field?
4. How can we determine the number of sunflowers planted using the angle given?
5. If the number of tulips were doubled, what would the new angle representing tulips be?

### Tip:
When analyzing pie charts, remember that each sector's angle is directly proportional to the quantity it represents relative to the whole. This makes it easy to calculate fractions and percentages based on the angles provided.

Learn how to calculate the fraction of roses planted in a pie chart representing different types of flowers. Given a total of 1200 flowers and an angle of 112.5 degrees for roses, find the fraction using basic geometry principles. Ideal for students in Grades 6-8.

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