The circle and constructions: corrected 6th grade math exercises in PDF.

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Answers to the exercises on the circle in 6th grade with problems on the construction of circles and the drawing of chords in 6th grade.

Exercise 1:

1. Draw a circle with center O and a string [AB] as below.

2. Draw a string [BC] so that the point O is inside the triangle ABC.

3. Draw a string [BE] so that the point O is outside the triangle ABE.

circle

Exercise 2:

1.2. Here is the figure we get:

circle

3. Indicate for each point A,E,F,G,H whether or not it belongs to the circle \varphi.

Only the point G belongs to the circle because AG=2 cm = radius

Exercise 3:

1. Draw a segment [EF], then the circle with center E passing through F.

2. Draw the circle with center F and radius EF.

Two circles

Exercise 4:

1. Draw a segment [PQ] and place its middle H.

2. Draw the circle with center H passing through P.

Circle and diameter

Name a segment that is a diameter of this circle.

The segment [PQ] is a diameter of this circle.

Exercise 5:

1. Place on the sheet two points A and B distant of 4 cm.

Draw a circle

2. Draw the circle with center A passing through B.

What is its radius? its diameter?

Its radius is 4 cm and its diameter is 8 cm.

Exercise 6:

1. Place a point O on the sheet.

Draw the circle with center O and radius 3 cm.

2. Draw the circle with center O and diameter 5 cm.

Concentric circles

Exercise 7:

Construction with the compass

Exercise 8:

b) This figure corresponds to 2 small circles of radius 3 cm and one large circle of radius 6 cm .

P=2\times  \,2\times  \,\pi\times  \,3+2\times  \,\pi\times  \,6

P=12\pi+12\,\pi

P=24\pi

P\simeq\,75,4\,cm

Geometric figure

Exercise 9:

Circle

Circles

Corrected 6th grade math exercises in PDF.

After having consulted the answer key for this exercise on circle and chord line problems in 6th grade, you can return to the exercises in 6th grade.

The exercises in the sixth grade.

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