The radius of a circular garden is 84m. inside it there is a 7 metre wide road along its circumference. find the area of this road
Answers
Solution :
Radius of circular garden : 84 m
Width of the road along the circumference of the garden : 7 m
Remaining radii : 77 m
To find : Area of Road
=> Total Area of circular garden - Area of circular garden excluding the road
=> π ( 84 )² - π ( 77)²
=> π × ( 161 ) × 7
=> 22/7 × 161 × 7
=> 22 × 161
=> 3542 m² .
Answer : The required area of this road is 3542 m² .
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Additional Information :
Area of a circle - π r²
Circumference of a circle : 2 π r
Area of a semi circle : ( 180/360 ) π r²
Circumference of semi circle : π r .
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Answer:
Area of the road = 6506.5 - 5544 = 962.5 m²
Step-by-step explanation:
✑The diameter of a circular garden is 84 m. On its outside, there is around 3.5 m wide. Find the cost of constructing the road at Rs 20 per
square meter.
Here, radius of a circular garden 84² = 42 m
Area of the circular garden = begin mathsize = 16px style straight pi end styler2 22/7 x 42 x 42 = 5544 m2
Width of the road = 3.5 m
radius = 42 + 3.5 = 45.5 m
✑Total area = begin mathsize 16px style straight pi end styler2 = 22/7 x 45.5 x 45.5 = 6506.5 m²
Area of the road = 6506.5 - 5544 = 962.5 m²
The cost of constructing the road at Rs.20 per square meter = 962.5 x 20 =Rs. 19250