Trigonometry and Area

Trigonometry and Area

By Deb Scott

​Objective: Find the area of regular ploygons using trigonometry

Multiple Choice

Find the length of the apothem

• 3.236
• 4.944
• 2.351
• 6.805

Multiple Choice

Find the area.

• 77.9 mi²
• 188.1 mi²
• 173.8 mi²
• 347.6 mi²

Multiple Choice

What is the area of a regular Octagon with side of 12 cm.

• $$452.35\ cm^2$$

• $$512.36\ cm^2$$

• $$572.71\ cm^2$$

• $$695.29\ cm^2$$

• $$701.32\ cm^2$$

Multiple Choice

After drawing in the apothem, how do you calculate the measure of the angle?

• $$\frac{360}{4}$$

• $$\frac{360}{5}$$

• $$\frac{360}{n}$$

• $$\frac{360}{2n}$$

Multiple Choice

If the side measure of this pentagon is 8m then what is the area of the pentagon? (round to the nearest tenth)

• 11.01m²

• 44.89m²

• 6.7m²

• 110.1m²

Multiple Choice

if the side one side of this shape is 6 km then what is the area of the shape? (round to the nearest tenth)

• 277km²

• 277km

• 2770km²

• 276.9km²

Multiple Choice

If the perimeter of the shape above is 42km then what is the area of the shape? (round to the nearest tenth)

• 130.7km²

• 130.8km²

• 130.8km

• 130.81km²

Multiple Choice

If the perimeter of the shape above is 63 ft then what is the area of the shape (round to the nearest tenth

• 306ft²

• 306ft

• 306.2ft²

• 3.062ft²

Multiple Choice

Find the area of the shape above if the perimeter is 54in.

• 222.5in²

• 222.5in

• 222.5

• 222.5ft²

Multiple Choice

Find the area of the shape above if the perimeter is 35mi. (round to the Nearest tenth)

• 90.8mi²

• 90.8mi

• 9.08mi²

• 908mi²

Multiple Choice

Find the area of ABC to the nearest tenth.

• 62.3 units²

• 124.6 units²

• 77.0 units²

• 100 units²

Multiple Choice

What is the area of a triangle with two sides that measure 6 m and 8 m with an included angle of 137°?

• 17.8m²

• 14.6m²

• 16.4m²

• 12.9m²

Multiple Choice

What is the area of a triangle with two sides that measure 5 cm and 8 cm with an included angle of 39°?

• 15.9cm²

• 12.6cm²

• 15.3cm²

• 16.2cm²

Multiple Choice

What is the area of this triangle?

• 14.494 meters squared
• 108.184 meters squared
• 54.092 meters squared
• 54.35 meters squared

Multiple Choice

Find the area of the triangle. Round your answer to 1 decimal place..

• 24.9 cm²

• 25 cm²

• 49.8 cm²

• 49.9 cm²

Multiple Choice

Find the area of the triangle. Round your answer to 1 decimal place..

• 16.8 cm²

• 15.7 cm²

• 11.5 cm²

• 11.4 cm²

Multiple Choice

Find the area of the given figure. Round your answer to the nearest tenth.

• 302.9 in²

• 605.8 in²

• 117.3 in²

Multiple Choice

Find the area of the given figure. Round your answer to the nearest tenth.

• 465.1 ft²

• 124.3 ft²

• 232.6 ft²

Multiple Choice

Find the area of the given figure. Round your answer to the nearest tenth.

• 76.6 mi²

• 61.9 mi²

• 55.6 mi²

Fill in the Blanks

Calculate the area, in square yards, of the triangle shown.
Give your answer correct to 1 decimal place.

Fill in the Blanks

Calculate the area, in cm², of the triangle shown.

Give your answer correct to 1 decimal place.