Question

Question 6 of 20 Select the best answer for the question. 6. If a decorative sign in the form of a circle has a diameter of 10 feet, what it the area of the sign, to the nearest square foot? A. 31 ft2 B. 79 ft2 C. 16 ft2 D. 157 ft

Answer 1

6) Diameter is 10ft which means radius is 5ft.

The sign is of the form of a circle of radius 5ft so its it area is 5×5÷π= 78.539 sqft. approximately 79 sqft.

7) The sides of central angle of a circle is two radii. A central angle has its vertex at the center of the circle, and the sides of the angle lie on two radii of the circle.

8) Supplement of angle 72° is 180°- 72° = 108°.

9) Side of a cone is a curved surface.

10)Volume of triangular pyramid is 1/3 × area of base × height.

Area of base (equilateral triangle as three sides have same length) = √3/4 × 3 × 3 = 3.897 sqmetre.

Volume = 1/3 × 4 × 3.897 = 5.196 cubic metres = 5.2 cubic metres.