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3 years ago

The covered part of this figure is a semicircle. What is the best approximation for the area of this figure?

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Answer:

94.18

Step-by-step explanation:

Given in the question a semi circle and a right angle triangle

Step 1

Find the diameter of the semi circle

To find the diameter we will use pythagorus theorem

<h3>hypotenuse² = height² + base²</h3>

here,

hypotenuse will be diameter of semicircle

height = 9

base = 4

Plug values in the formula above

diameter = √(9²+4²)

diameter = √97

Step 2

Find radius

<h3>radius = diameter / 2</h3>

Step 3

Area

π(√97/2)²

= 76.18

Step 4

Total surface area = area of circle + area of right angle triangle

= 76.18 + 1/2(9)(4)

= 94.18

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3 years ago

Sally is making 15 individual blueberry cheesecakess. How many pounds of blueberries will be in each cheesecake if 514 pounds of

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3 years ago

In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?

Rashid [163]

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = $\pi$ r²

Plug in 10 as the radius, and solve

A = $\pi$ r²

A = $\pi$ (10²)

A = 100 $\pi$

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

$\frac{40\pi }{100\pi }$ = $\frac{x}{360}$

Cross multiply and solve for x:

100 $\pi$ x = 14400 $\pi$

x = 144

So, the degree measure of the sector arc is 144°

6 0

3 years ago

Read 2 more answers