Chapter 11: Q20. (page 431)

Find the area of each figure:
A rectangle with length $16$ inscribed in a circle with radius $10$ .

Short Answer

Expert verified

The area of given figure is $192$ square units.

Step by step solution

Step 1. Analyze the given information.

Let the width of the rectangle is $a$ .

Step 2. Find the width of rectangle.

We can use Pythagoras theorem.

Pythagorean Theorem define that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

$20^{2} = a^{2} + 16^{2}$

$a^{2} = 400 - 256$

$a^{2} = 144$

$a = 12$

Thus, the width of rectangle is $12$

Step 3. Find the area of rectangle.

Area of rectangle can be found using the formula

$A = l b$

Where,

$l =$ Length of arectangleand $h =$ Width of arectangle

$A = 16 \times 12$

$= 192$ Square units.

Therefore, the area of given figure is $192$ square units.

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Find the area of each figure:
A rectangle with length $16$ inscribed in a circle with radius $10$ .

Short Answer

Step by step solution

Step 1. Analyze the given information.

Step 2. Find the width of rectangle.

Step 3. Find the area of rectangle.

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Study anywhere. Anytime. Across all devices.

Find the area of each figure:A rectangle with length 16 inscribed in a circle with radius 10.

Short Answer

Step by step solution

Step 1. Analyze the given information.

Step 2. Find the width of rectangle.

Step 3. Find the area of rectangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Statistics

Discrete Mathematics

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the area of each figure:
A rectangle with length $16$ inscribed in a circle with radius $10$ .