MATHEMATICS HIGH SCHOOL

The diameter of a Frisbee is 12 in. What is the area of the Frisbee?a. 37.68 sq. in.
b. 452.16 sq. in.
c. 18.84 sq. in.
d. 113.04 sq. in.

Answers

Answer 1
Answer:

we know that

Area of the circle is equal to

A=\pi r^(2)

where

r is the radius

in this problem

diameter=12\ in \n radius=diameter/2\n radius=12/2\n radius=6\ in

A=3.14* 6^(2)

A=113.04 in^(2)

therefore

the answer is the option

d. 113.04 sq. in.
Answer 2
Answer:

The area of the Frisbee is about 113 in.² ( Option D )

Further explanation

The basic formula that need to be recalled is:

Circular Area = π x R²

Circle Circumference = 2 x π x R

where:

R = radius of circle

The area of sector:

\text{Area of Sector} = \frac{\text{Central Angle}}{2 \pi} * \text{Area of Circle}

The length of arc:

\text{Length of Arc} = \frac{\text{Central Angle}}{2 \pi} * \text{Circumference of Circle}

Let us now tackle the problem!

Given:

Diameter of Frisbee = d = 12 in

Unknown:

Area of Frisbee = A = ?

Solution:

Area of the Frisbee could be calculated using the area of circle as follows:

A = (1)/(4) \pi d^2

A = (1)/(4) * \pi * 12^2

A = 36 \pi ~ in.^2

A \approx \boxed {113.10 ~ in.^2}

The closest option available will be option D. 113 in.²

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Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse, Circle , Arc , Sector , Area, Inches , Frisbee , Diameter , Radius , Trigonometry ,

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Answers

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Answers

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Answers

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Answers

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