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3 years ago

15. What is the area of the circle whose equation is (X - 9)2 + (y - 3)2 = 64?

Mathematics

1 answer:

Vsevolod [243]3 years ago

3 0

Answer:

64π

General Formulas and Concepts:

Geometry

Area of a Circle Formula: A = πr²

r is radius

Pre-Calculus

Center-Radius Form: (x - h)² + (y - k)² = r²

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify

(x - 9)² + (y - 3)² = 64

↓ Compare to Center-Radius Form

Center (9, 3)

Radius² = 64

Step 2: Find Area

Substitute in variables [Area of a Circle Formula]: A = π(64)
Multiply: A = 64π

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Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangl

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ANSWER

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EXPLANATION

The given rectangle, A, has length, 10cm and its width is 6cm.

The rectangle that is similar to rectangle A, has the corresponding sides in the same proportion.

For option A, the triangle has length 9cm and width 6cm.

The ratio of the corresponding sides are:

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Since the ratios are not equal, the two triangles are not similar.

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The ratio of the corresponding sides are:

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Since the sides of the triangle are in the same proportion, the two triangles are similar.

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