Mathematics, 21.02.2020 10:24 gilbertej437

Find the area of this shape

Answers: 3

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Answer from: arigar

25π units²

Step-by-step explanation:

As you may see, this shape is a quarter of a circle. To find it's area, you would find the area of the circle that is is a quarter of, and divide it by 4. The area of a circle is

A = πr²

where A is the area, and r is the radius. As shown in the image, the radius of the circle is 10. To find the area of the circle, plug in 10 for r into the equation of the circle.

A = π(10)²

10² is 100

A = 100π

So the area of the circle is 100π. We are not done yet. Remember, the shape is a quarter of the circle, so we still have to divide the area of the circle by 4 to find the correct answer.

100π/4 = 25π

The area of the shape would be 25π units².

I hope you find my answer helpful. :)

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

Answer from: Quest

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

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