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2 years ago

Area of a Circle

Mathematics

2 answers:

Shkiper50 [21]2 years ago

7 0

Answer:

i) Diameter = 38 meters

ii) Radius = 19 meters

iii) Area = 361 m²

Step-by-step explanation:

i) According to the formula given in the question, the formula for the circumference, C = πD

C = 120 meters

Diameter, D = 120/π

D = 38 meters

ii) The value of the radius

Radius, r = (Diameter, D)/2

r = 38/2

r = 19 meters

iii) What is the approximate area

From the question, the expression for the area is A = r²

Area, A = 19²

A = 361 meters

Cloud [144]2 years ago

4 0

Answer:

The diameter of the pond is 38 m.

The radius of the pond is 19 m.

The area of the pond is 361 m^2.

Step-by-step explanation:

We know that the circumference C of a circle is equal to

$C=\pi D$

In this case, C is equal to 120 m.

The diameter is then:

$D=C/\pi=120/3.14=38.21\approx 38$

Rounded to the nearest whole number, the diameter is D=38 metres.

The radius is equal to half the diameter, so the radius of this pond is R=19 metres.

$R=D/2=38/2=19$

The area can be calculated from the radius as:

$A=r^2=19^2=361$

The area is 361 m^2

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Answer:

a < -30/31

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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Parenthesis
Exponents
Multiplication
Division
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Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

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Step-by-step explanation:

Step 1: Define

7a + 42 + 8 < -10 + 9a - 64a

Step 2: Solve for a

Combine like terms (a): 7a + 42 + 8 < -10 - 55a
Combine like terms: 7a + 50 < -10 - 55a
[Addition Property of Equality] Add 55a on both sides: 62a + 50 < -10
[Subtraction Property of Equality] Subtract 50 on both sides: 62a < -60
[Division Property of Equality] Divide 62 on both sides: a < -30/31

Here we see any number a less than -30/31 would work as a solution to the inequality.

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2 years ago

What is the simplified version of -4(8r + 3)

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Step-by-step explanation:

-4(8r+3)

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Note that there are 24 hours in 1 day, and 60 minutes in 1 hour

First, multiply 25 with 24

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Answer:

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Step-by-step explanation:

Provided,

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