ASSIGNMENT 1
1. The length and breadth of a rectangular park are 500 m and 200 m respectively. Find the area of the park in hectare.
2. Find the area of a circle the radius of which is 21 cm.
3. If the base and height of a triangle are 20 cm and 5 cm respectively, find its area.
4. Convert 273°C to kelvin scale and convert 273 K to celcius scale.
5. Convert 5 milligrams to micrograms.
6. Howmany hours are there in 10 days and 10 hours ?
7. Howmany years are there in 2 decades and 2 years ?
8. Convert 10:30 pm and 10:30 am to 24-hour clock time.
9. Convert 2020 h and 1020 h to 12-hour clock time.
10. Convert (_100) degree centigrade in kelvin scale.
Can anyone solve this for me with explainations
Answers
Answer:
1. l*b = 500*200 = 100000m^2.
2. πr^2 = π*21^2 = 1385.44cm^2.
Question 1 :
The length and breadth of a rectangular park are 500 m and 200 m respectively. Find the area of the park in hectare.
Solution :
Area of Rectangular Park = l × b
= 500 × 200
= 100000 m
Now,
Hectare = 100000/10000
= 10
Therefore, the Area of the rectangular park is 10 square hectares.
Question 2 :
Find the area of a circle the radius of which is 21 cm.
Solution :
Area of Circle = πr²
= 22/7 × (21)²
= 22/7 × 441
= 22 × 441/7
= 9702/7
= 1386
Therefore, the Area of the Circle is 1386 cm².
Question 3 :
If the base and height of a triangle are 20 cm and 5 cm respectively, find its area.
Solution :
Area of Triangle = 1/2 × b × h
= 1/2 × 20 × 5
= 1/2 × 100
= 100/2
= 50
Therefore, the Area of the Triangle is 50 cm².
Question 4 :
Convert 273°C to Kelvin scale and convert 273 K to Celcius scale.
Solution :
C = K - 273
273 = K - 273
K = 546
C = K - 273
C = 273 - 273
C = 0
Therefore, 273°C to Kelvin scale is 546 k. And 273 K to Celcius scale is 0°.
Question 5 :
Convert 5 milligrams to micrograms.
Solution :
1 milligram = 1000 Micrograms
5 milligram = 1000 × 5
= 5000 micrograms
Therefore, 5 milligrams is 5000 micrograms.
Question 6 :
How many hours are there in 10 days and 10 hours?
Solution :
1 day = 24 hours
10 days = 24 × 10
= 240 hours
10 days and 10 hours = 240 + 10 hours
= 250 hours
Therefore, there are 250 hours in 10 days and 10 hours.
Question 7 :
How many years are there in 2 decades and 2 years?
Solution :
1 decade = 10 years
2 decades = 10 × 2
= 20 years
2 decades and 2 years = 20 + 2 years
= 22 years
Therefore, there are 22 years in 2 decades and 2 years.
Question 8 :
Convert 10:30 pm and 10:30 am to 24-hour clock time.
Solution :
10:30 pm = 22 : 30
10:30 am = 10 : 30
Therefore, 10:30 pm is 22:30 hours and 10:30 am is 10:30 hours.
Question 9 :
Convert 20:20 h and 10 : 20 h to 12-hour clock time.
Solution :
20:20 = 8:20
10:20 = 10:20
Therefore, 20:20 is 8:20 pm and 10:20 is 10:20 am.
Question 10 :
Convert (_100) degree centigrade in kelvin scale.
Solution :
C = K - 273
100 = K - 273
K = 373
Therefore, the 100 Degrees centigrade in Kelvin Scale is 373 K.