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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 192square units.

Step by step solution

01

Step 1. Analyze the given information.

Let the width of the rectangle is a.

02

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.

202=a2+162

a2=400-256

a2=144

a=12

Thus, the width of rectangle is 12

03

Step 3. Find the area of rectangle.

Area of rectangle can be found using the formula

A=lb

Where,

l= Length of arectangleand h= Width of arectangle

A=16脳12

=192Square units.

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

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