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AB is tangent to circle O at B. What is the length of the radius r? Round to the nearest tenth.

A. 1.7
B. 2.9
C. 6.1
D. 15.4

AB is tangent to circle O at B What is the length of the radius r Round to the nearest tenth A 17 B 29 C 61 D 154 class=

Respuesta :

dalendrk
[tex]Use\ Pythagorean\ theorem.\\\\r^2+10^2=11.7^2\\\\r^2+100=136.89\ \ \ \ |subtract\ 100\ from\ both\ sides\\\\r^2=36.89\\\\r=\sqrt{36.89}\\\\r\approx6.1\\\\Answer:\boxed{C.\ r=6.1}[/tex]

The radius of the circle is 6.1, the correct option is C.

What is Pythagoras Theorem?

According to Pythagoras Theorem, in a right-angled triangle, the square of the side opposite to the right angle is equal to the sum of squares of the other two sides.

Height² + Base² = Hypotenuse²

The line that touches the circle at only one point and makes 90 degree with the radius is called the tangent of the circle.

The AB is tangent to the circle O at B.

It is forming a right triangle at B,

The length of the tangent is 10 and,

The length of the center to the external point is 11.7,

The radius of the circle has to be determined.

The Pythagoras theorem can be used here, as ABO is a right triangle.

By the formula of Pythagoras theorem

10² + r² = 11.7²

136.89 = 100 +  r²

r² = 36.89

r = 6.07

r = 6.1

The radius of the circle has been determined.

To know more about Pythagoras Theorem

https://brainly.com/question/343682

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