Circle Q has radius QR of length 55 cm. Point P is 73 cm. from Q, and PR is a tangent segment. How long is PR?
a. 18 cm.
b. 48 cm.
c. 64 cm.
d. 128 cm.

Question

13-06-2018
Mathematics

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Circle Q has radius QR of length 55 cm. Point P is 73 cm. from Q, and PR is a tangent segment. How long is PR?
a. 18 cm.
b. 48 cm.
c. 64 cm.
d. 128 cm.

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sqdancefan sqdancefan · Answer 1 · 2018-06-13T10:13:00+02:00

sqdancefan sqdancefan

13-06-2018

A tangent line is perpendicular to the radius to the point of tangency. Hence QR ⊥ PR. The Pythagorean theorem tells you
(QR)² + (PR)² = (PQ)²
(55 cm)² + (PR)² = (73 cm)²
(PR)² = 2304 cm²
(PR) = √(2304 cm²) = 48 cm

The length of PR is
b. 48 cm

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Circle Q has radius QR of length 55 cm. Point P is 73 cm. from Q, and PR is a tangent segment. How long is PR? a. 18 cm. b. 48 cm. c. 64 cm. d. 128 cm.

Respuesta :

Otras preguntas

Circle Q has radius QR of length 55 cm. Point P is 73 cm. from Q, and PR is a tangent segment. How long is PR?
a. 18 cm.
b. 48 cm.
c. 64 cm.
d. 128 cm.