Pi Day QUIZ COMP JUNIOR LEVEL

Pi History

100

Who discovered Pi?

Archimedes of Syracuse

The first calculation of pi was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

200

When is pi day celebrated 'around' the world?

14th of March

300

Who discovered the first 16 digits of Pi?

Isaac Newton

400

Who discovered the diameter ratio of 355/113?

Zu Chongzhi

500

Who has calculated the area of a circle by taking the value of Pi equal to 3? (according to history)

Babylonians

Pi Numbers

100

What is the 3 th digit of pi? (after decimal)

1

3.141

200

What is the approximation of pi accurate up to 8 decimal places?

355/113

300

What is the 5th digit of pi? (after decimal)

9

3.14159

400

What is the value of pi to the nearest ten millionth?

7

3.1415927

500

How many digits of pi are currently known?

100 trillion digits calculated by Google Cloud

Pi Applications

100

Is Pi an irrational or rational number?

It's irrational number

200

What is the formula for the area of a circle?

A = π x r x r

A = π r²

300

What is the formula for the circumference of a circle?

C=π (pi) x Diameter of the circle (d)

C= Pi x 2r

400

How can we use circumference to find the value of pi?

Divide the circumference of the circle by its diameter to get 'pi'

500

State what profession/job can Pi be used for.

Product Engineering, Video Games Programmer, Garden designer, Artist or Sculptor, Architect, Statistician

Circle Vocabulary

100

Perimeter of a Circle

Circumference

200

The 'width' of a circle that passes through the centre

Diameter

300

Half of a circle

Semi-circle

400

The portion of the circumference of a circle

Arc

500

The part of a circle that enclosed by two radii and an arc

Sector (Juring)

Problem Solving

100

A circle has a radius(jari-jari) of 7 cm. Then the area(luas) of the circle is... cm.

Area of the circle (luas) = Л x r²

=22/7 x 7 x 7

= 22 x 7 x 1

= 154 cm.

200

Find the circumference of a circle with a radius of 10 m.

Circumference of the circle (keliling) = 2 x Л x r

C= 2 x 3.14 x 10

C= 2 x 31.4

C= 62.8

300

If the diameter of a circle is 7, calculate the area of the circle

Area of the circle (luas) = Л x r²

=3.14 x 3.5 x 3.5

= 38.465 cm²

400

A circular bucket lid has a circumference(keliling) of 154 cm. Then the radius(jari-jari) of the bucket lid is .... cm

(Circumference/keliling) = 2 x Л x r

154 = 2 x Л x r

154 : 2 = 22/7 x r

77 = 22/7 x r

77 : 22/7 = r

77 x 7/22 = r

r = 24,5 cm.

500

If a circle has an area(luas) of 3,850 cm², then the radius(jari-jari) of the circle is...

(area of the circle) = Л x r²

3.850 = 22/7 x r²

3.850 : 22/7 = r²

3.850 x 7/22 = r²

3.850 : 22 x 7 = r²

175 x 7 = r²

r² = 1.225

r = √1.225

r = 35 cm.