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3 years ago

The diagram above shows a circle with centre O and radius 25 cm.

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

Notice that KL = LM and PQ = QR since OL and OQ are perpendicular to both KM and PR.

It follows that QR = (1/2) PR = 20 cm. We also know that MR = 21.

Now in order to solve the problem we just need OQ=OL

$OQ^2=OR^2-QR^2= 25^2-20^2 =225\\OQ=15$

Therefore the perimeter of the pentagon is

$OL+LM+MR+RQ+Q)\\= 15+20+21+20+15= 91$

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