Area of Semi-Circles and Triangles

The video tutorial explains how to calculate the area of a semi-circle and a triangle using given measurements in inches. It covers the formulas for the area of a semi-circle and a triangle, and demonstrates how to combine these areas to find the total area. The tutorial also includes a step-by-step guide on using a calculator to obtain a decimal approximation of the total area, rounded to the nearest hundredth.

What is the task given in the problem?

• To find the perimeter of a rectangle

• To determine the length of a diagonal

• To calculate the volume of a cylinder

• To find the area of a semi-circle and a triangle

Tags

CCSS.7.G.B.4

Which formula is used to calculate the area of a semi-circle?

• pi r squared

• 2 pi r

• 1/2 pi r squared

• pi r

Tags

CCSS.6.G.A.1

What is the formula for the area of a triangle?

• Base minus height

• Base plus height

• 1/2 base times height

• Base times height

Tags

CCSS.7.G.B.4

What is the radius of the semi-circle if the diameter is 16 inches?

• 4 inches

• 8 inches

• 16 inches

• 32 inches

What is the base of the triangle in the given problem?

• 8 inches

• 16 inches

• 32 inches

• 20 inches

Tags

CCSS.7.G.B.4

How is the area of the semi-circle simplified in the calculation?

• 128 pi square inches

• 64 pi square inches

• 32 pi square inches

• 16 pi square inches

Tags

CCSS.6.G.A.1

What is the area of the triangle after simplification?

• 80 square inches

• 120 square inches

• 200 square inches

• 160 square inches

What is the total exact area of the semi-circle and triangle combined?

• 192 square inches

• 260 square inches

• 32 pi + 160 square inches

• 64 pi + 160 square inches

To what decimal place is the total area rounded?

• Whole number

• Tenths

• Hundredths

• Thousandths

What is the approximate total area of the semi-circle and triangle?

• 261.53 square inches

• 263.53 square inches

• 260.53 square inches

• 262.53 square inches