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Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Find area

Grade: 6-a Lesson: S2-L3

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	What is the area of the shaded region in given shape below?
2	Step	The given radius are	8 in and 6 in
3	Formula:	The area of circle	\$A = πr^2\$
4	Step	Here first, find out the outer area of a circle	\$A_1 = π times 8^2\$
5	Step	After simplification	\$A_1 = 200.96\$ sq.in
6	Step	Here then find out the inner area of a circle	\$A_2 = π times 6^2\$
7	Step	After simplification	\$A_2 = 113.04\$ sq.in
8	Step	Now we need to find the shaded region	\$ Area of outer circle - area of inner circle\$
9	Step	Substitute the values	200.96 - 113.04
10	Step	After simplification	87.92 sq.in
11	Step	So the area of the shaded region is 87.92 sq.in
12	Sumup	Can you summarize what you’ve understood in the above steps?
13	Choice.A	This is correct based on the correct calculation of the shaded region	\$87.92 in^2\$
14	Choice.B	This is not correct as it does not represent the area of the shaded region	\$200 .96 in^2\$
15	Choice.C	This is not correct as it does not represent the area of the shaded region	\$113.09 in^2\$
16	Choice.D	This is not correct because it states "All the above," including options A, B, and C	All the above
17	Answer	Option	A
18	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

What is the area of the shaded region in given shape below?

Step

The given radius are

8 in and 6 in

Formula:

The area of circle

\$A = πr^2\$

Step

Here first, find out the outer area of a circle

\$A_1 = π times 8^2\$

Step

After simplification

\$A_1 = 200.96\$ sq.in

Step

Here then find out the inner area of a circle

\$A_2 = π times 6^2\$

Step

After simplification

\$A_2 = 113.04\$ sq.in

Step

Now we need to find the shaded region

\$ Area of outer circle - area of inner circle\$

Step

Substitute the values

200.96 - 113.04

Step

After simplification

87.92 sq.in

Step

So the area of the shaded region is 87.92 sq.in

Sumup

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

Choice.A

This is correct based on the correct calculation of the shaded region

\$87.92 in^2\$

Choice.B

This is not correct as it does not represent the area of the shaded region

\$200 .96 in^2\$

Choice.C

This is not correct as it does not represent the area of the shaded region

\$113.09 in^2\$

Choice.D

This is not correct because it states "All the above," including options A, B, and C

All the above

Answer

Option

Sumup

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