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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Circumference of a circle

Grade: 6-a Lesson: S2-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	The difference between the circumference and the diameter of a circular bangle is 10 ft. Find the radius of the bangle.
2	Step	The circumference © of a circle is given by the formula:	\$C = π \times d\$
3	Step	The difference between the circumference and the diameter of the bangle is	10 feet
4	Step	Now, we can set up an equation using the information	C - d = 10
5	Step	Substituting the formula for the circumference (c)	πd - d = 10
6	Step	Now, factor out the common term "d" on the left side of the equation:	d(π - 1) = 10
7	Step	Divide both sides by (π - 1)	\$d((π - 1)/(π - 1))\$ = \$10/(π - 1)\$
8	Step	After simplification	d = \$10/(π - 1)\$
9	Step	Place the π value	d = \$10/(3.14 - 1)\$
10	Step	After simplification	d = \$10/ 2.14\$
11	Step	After division	d = 4.66 feet
12	Step	So, the diameter of the circular bangle is 4.66 feet.
13	Formula	Now, we find the radius of a circle.	r = \$d/2\$
14	Step	Now plug the values into the formula	r = \$4.66/2\$ r = 2.33
15	Step	So, the radius of the circular bangle is 2.33 feet.
16	Answer	Option	B
17	SumUp	Can you summarize what you’ve understood in the above steps?	Audio

Step

Type

Explanation

Answer

Problem

The difference between the circumference and the diameter of a circular bangle is 10 ft. Find the radius of the bangle.

Step

The circumference © of a circle is given by the formula:

\$C = π \times d\$

Step

The difference between the circumference and the diameter of the bangle is

10 feet

Step

Now, we can set up an equation using the information

C - d = 10

Step

Substituting the formula for the circumference (c)

πd - d = 10

Step

Now, factor out the common term "d" on the left side of the equation:

d(π - 1) = 10

Step

Divide both sides by (π - 1)

\$d((π - 1)/(π - 1))\$ = \$10/(π - 1)\$

Step

After simplification

d = \$10/(π - 1)\$

Step

Place the π value

d = \$10/(3.14 - 1)\$

Step

After simplification

d = \$10/ 2.14\$

Step

After division

d = 4.66 feet

Step

So, the diameter of the circular bangle is 4.66 feet.

Formula

Now, we find the radius of a circle.

r = \$d/2\$

Step

Now plug the values into the formula

r = \$4.66/2\$

r = 2.33

Step

So, the radius of the circular bangle is 2.33 feet.

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?

Audio