Circumference
What is the formula for finding the circumference of a circle?
C=2πr or C=πd
What is the formula for finding the area of a circle?
A=πr2
What is the formula in finding the area of a triangle?
Area: 1/2 bh
What is the formula for finding the area of a trapezoid?
A=1/2 (b1+b1) h
Who is known as the "Father of Geometry" for his work on the book Elements, which organized and explained the principles of geometry?
Euclid
If a circle has a diameter of 14 cm, what is its circumference? (Use π≈3.14)
C = πd
= 3.14×14
= 43.96cm
Find the area of a circle with a radius of 7 cm.
(Use π≈3.14\)
A = πr2
= 3.14×72
= 3.14×49
= 153.86cm2
A figure is made of a rectangle and a semicircle on top. The rectangle has a length of 10 cm and a width of 4 cm. The semicircle has a diameter of 4 cm. What is the total area? (Use π≈3.14)
Area of Rectangle = 40cm2
Radius of Semicircle = 2cm
Area of Semicircle = 6.28cm2
Total Area = 40 cm2 + 6.28cm2 = 46.28cm2
Find the area of a parallelogram with a base of 9 cm and a height of 6 cm.
A = b×h
= 9×6
= 54cm2
Which famous mathematician developed the theory of gravity and also contributed to calculus independently of Leibniz?
Isaac Newton
A circle has a radius of 6 meters. Find its circumference. (Use π≈3.14)
C = 2πr
= 2×3.14×6
= 37.68m
A circle has a diameter of 10 meters. Find its area. (Use π≈3.14)
A = πr2
= 3.14×52
= 3.14×25
= 78.5m2
A composite figure consists of a square with side length 5 m and a triangle with a base of 5 m and a height of 6 m. What is the total area?
Area of square = 25m2
Area of Triangle = 15m2
Total Area = 25m2 + 15m2 = 40m2
A triangle has a base of 12 meters and a height of 5 meters. What is its area?
A = 1/2×b×h
= 21×12×5
= 30m2
Who was the ancient Greek mathematician known for his theorem about right triangles, stating a2+b2=c2?
Pythagoras
A park has a circular walking track with a radius of 50 meters. How far would you walk if you completed one full round? (Use π≈3.14)
C = 2πr
= 2×3.14×50
= 314meters
A circular garden has a radius of 8 meters. What is the total area of the garden? (Use π≈3.14)
A = πr2
=3.14×82
= 3.14×64
= 200.96m2
A playground has a shape made of a rectangle and a triangle on top. The rectangle is 12 meters long and 8 meters wide. The triangle has a base of 12 meters and a height of 5 meters. Find the total area of the playground.
Area of Rectangle = 96m2
Area of Triangle = 30m2
Total area = 96m2 + 30m2 = 126m2
A farmer wants to build a rectangular vegetable garden that is 15 meters long and 8 meters wide. How much area will the garden cover?
A = l×w
= 15×8
= 120m2
Which French mathematician is famous for his "Last Theorem," which wasn’t proven until over 350 years after he first stated it?
Pierre de Fermat
Lisa is planning to put a ribbon around a circular cake that has a diameter of 24 cm. How long should the ribbon be to go all the way around the cake? (Use π≈3.14)
C = πd
= 3.14×24
= 75.36cm
A pizza has a diameter of 16 inches. What is the area of the pizza? (Use π≈3.14)
A = πr2
= 3.14×82
= 3.14×64
= 200.96in2
A swimming pool has a large rectangle in the middle, 20 meters long and 10 meters wide, with a semicircle at one end. The semicircle has a diameter of 10 meters. Find the total area of the pool. (Use π≈3.14)
Area of Rectangle: 200m2
Radius of semicircle: 5m
Area of Semicircle: 39.25m2
Total Area: 200m2 + 39.25m2 = 239.25m2
A park has a circular flower bed with a radius of 7 meters. What is the area of the flower bed? (Use π≈3.14)
A = πr2
= 3.14×72
= 3.14×49
= 153.86m2
Who is the German mathematician known as the "Prince of Mathematics," contributing to number theory, algebra, and statistics?
Carl Friedrich Gauss