Step-by-step Guide to Solve Exercise 2 on Page 100 of Math 5 Workbook
Problem:
Calculate the area of a circle given the circumference C = 6.28cm.
Solution Method:
- Step 1: Using the formula for the circumference of a circle: C = d x 3.14 => d = C : 3.14 (where d is the diameter)
- Step 2: Knowing the diameter, deduce the length of the radius: r = d : 2
- Step 3: Applying the formula for the area of a circle when given the radius (r): C = r x r x 3.14 or C = r2 x 3.14 (Value of pi = 3.14).
Answer:
According to the problem, we have: d x 3.14 = C
d x 3.14 = 6.28
d= 6.28 : 3.14
d = 2
So, the diameter of the circle is 2cm
The radius of the circle is:
2 : 2 = 1(cm)
The area of the circle is:
1 x 1 x 3.14 = 3.14 (cm2)
Answer: 3.14 (cm2)
Section Mathematics Class 5 Page 100, Practice includes 3 exercises. After solving exercise 2 on page 100 Math 5 textbook, check out the hints and methods for Solving Exercise 1 on Page 100 of Math 5 Workbook and Solving Exercise 3 on Page 100 of Math 5 Workbook, to enhance your understanding of 5th-grade mathematics!
