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How many plants (approximately) will be there in a circular bed whose outer edge measures 30 cm allowing 4 cm2 for each plant?
- a)18
- b)750
- c)24
- d)120
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
How many plants (approximately) will be there in a circular bed whose ...
Circumference = 30 cm Area
= C2/4π = 
=71.6cm2
=71.6cm2Number of plants = A4 = 71.64 
Most Upvoted Answer
How many plants (approximately) will be there in a circular bed whose ...
To find the number of plants that can fit in a circular bed, we need to calculate the area available for planting and divide it by the area required for each plant.
Given:
Outer edge of the circular bed = 30 cm
Area required for each plant = 4 cm^2
Step 1: Finding the radius of the circular bed
The outer edge of the circular bed is the circumference of the circle. We can use the formula for the circumference of a circle to find the radius:
Circumference = 2πr
30 cm = 2πr
Dividing both sides by 2π:
r = 30 cm / (2π) ≈ 4.77 cm
Step 2: Calculating the area available for planting
The area of a circle is given by the formula:
Area = πr^2
Area = π(4.77 cm)^2
Area ≈ 71.67 cm^2
Step 3: Calculating the number of plants
To find the number of plants that can fit in the circular bed, we need to divide the available area by the area required for each plant:
Number of plants = Area available / Area required
Number of plants = 71.67 cm^2 / 4 cm^2
Number of plants ≈ 17.92
Since we cannot have a fraction of a plant, we round down to the nearest whole number:
Number of plants = 17
Therefore, approximately 17 plants can fit in the circular bed.
Given:
Outer edge of the circular bed = 30 cm
Area required for each plant = 4 cm^2
Step 1: Finding the radius of the circular bed
The outer edge of the circular bed is the circumference of the circle. We can use the formula for the circumference of a circle to find the radius:
Circumference = 2πr
30 cm = 2πr
Dividing both sides by 2π:
r = 30 cm / (2π) ≈ 4.77 cm
Step 2: Calculating the area available for planting
The area of a circle is given by the formula:
Area = πr^2
Area = π(4.77 cm)^2
Area ≈ 71.67 cm^2
Step 3: Calculating the number of plants
To find the number of plants that can fit in the circular bed, we need to divide the available area by the area required for each plant:
Number of plants = Area available / Area required
Number of plants = 71.67 cm^2 / 4 cm^2
Number of plants ≈ 17.92
Since we cannot have a fraction of a plant, we round down to the nearest whole number:
Number of plants = 17
Therefore, approximately 17 plants can fit in the circular bed.
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Community Answer
How many plants (approximately) will be there in a circular bed whose ...
Given : Outer edge of circular bed for flowers measures 30 cm .
So,
Circumference of circle = 30 cm
We know circumference of circle = 2 π r2 π r , Here " r " radius of given circular bed
So,
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