Question

THIS IS SOOO URGENT PLZZ ANSWER

Answer 1

Answer:

First question: The area of the flower bed is 50.24 feet²

Second question: EF is 13.5 inches

Third question: Area of the figure is 38.47 cm²

Fourth question: The best approximation of the area is 12.56 m² ⇒ 2nd answer

Step-by-step explanation:

First question:

The formula of the area of a circle is A = πr², where r is its radius

∵ A circular flower bed has a radius of 4 feet

∴ r = 4 feet

∵ The area of a circle = πr²

∵ The flower bed is shaped a circle

∴ The area of the flower bed = πr²

∵ π = 3.14

∴ The area of the flower bed = 3.14(4)²

∴ The area of the flower bed = 50.24 feet²

Second question:

Similar triangles have a constant ratio between their corresponding sides

∵ Δ ABC is similar to Δ DEF

∵ The corresponding sides are

   AB and DE

   BC and EF

   AC and DF

∴ $\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

∵ AB = 5 inches

∵ BC = 9 inches

∵ DE = 7.5 inches

- Use the ratio above to find EF

∵  $\frac{5}{7.5}=\frac{9}{EF}$

- By using cross multiplication

∴ EF × 5 = 7.5 × 9

∴ 5 EF = 67.5

- Divide both sides by 5

∴ EF = 13.5 inches

Third question:

Area of a quarter circle = $\frac{1}{4}$ × area of the circle

∵ Area of a circle = πr²

∴ Area of a quarter circle = $\frac{1}{4}$ πr²

∵ The figure is a quarter circle with radius of 7 centimeters

∵ π = 3.14

∴ Area of the figure =  $\frac{1}{4}$ (3.14)(7)²

∴ Area of the figure = 38.465 cm²

- Round it to the nearest hundredth

∴ Area of the figure = 38.47 cm²

Fourth question:

Area of the circle = πr²

∵ The circle has a diameter 4 meters

- The length of the radius of a circle is half the length of its diameter

∴ The radius of the circle = $\frac{1}{2}$ × 4 = 2 meters

∵ π = 3.14

∴ The area of the circle = 3.14(2)²

∴ The area of the circle = 12.56 meters²

∴ The best approximation of the area is 12.56 m²