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Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Geometry

Grade: Top-SAT3 Lesson: S3-P1

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

Discussion: Step1 Step2 Step3 Step4 Step5

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	An arc length in a circle is 20 cm, and the central angle corresponding to the arc is 120 degrees. Find the radius of the circle.
2	Step	Given	s = 20 cm and θ = 120°
3	Formula:	The arc length and the central angle	\$r = (s / θ) times ((180°) / π)\$
4	Hint	Substituting the given values into the formula and slove for r	\$r = ((20cm) / \(cancel120°^2)) times (\(cancel180°^3)/ π)\$ \$r = (20/2) \times (3/π)\$
5	Step	Calculate the r value	\$r = (\cancel20^10/\cancel2^1) \times (3/π)\$ \$r = 30/π\$ \$r = 9.55 cm\$
6	Step	Therefore, the radius of the circle is 9.508 cm
7	Sumup	Can you summarize what you’ve understood in the above steps?
8	Choice.A	This is an incorrect answer; it’s slightly larger than the valid value	9.59 cm
9	Choice.B	It is correct; it is the most accurate representation of the radius based on the given arc length and central angle	9.55 cm
10	Choice.C	This is an incorrect answer; it’s slightly smaller than the valid value	9.57 cm
11	Choice.D	This is an incorrect answer; it seems to be an inaccurate value	9.058 cm
12	Answer	Option	B
13	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

An arc length in a circle is 20 cm, and the central angle corresponding to the arc is 120 degrees. Find the radius of the circle.

Step

Given

s = 20 cm and θ = 120°

Formula:

The arc length and the central angle

\$r = (s / θ) times ((180°) / π)\$

Hint

Substituting the given values into the formula and slove for r

\$r = ((20cm) / \(cancel120°^2)) times (\(cancel180°^3)/ π)\$

\$r = (20/2) \times (3/π)\$

Step

Calculate the r value

\$r = (\cancel20^10/\cancel2^1) \times (3/π)\$

\$r = 30/π\$

\$r = 9.55 cm\$

Step

Therefore, the radius of the circle is 9.508 cm

Sumup

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

Choice.A

This is an incorrect answer; it’s slightly larger than the valid value

9.59 cm

Choice.B

It is correct; it is the most accurate representation of the radius based on the given arc length and central angle

9.55 cm

Choice.C

This is an incorrect answer; it’s slightly smaller than the valid value

9.57 cm

Choice.D

This is an incorrect answer; it seems to be an inaccurate value

9.058 cm

Answer

Option

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5