A chord is 5cm from the centre of a circle of diameter 26cm. find the lenght of the chord(using the formula for the lenght of a chord)

Length of chord=24cm

Step-by-step explanation:

diameter=26cm

Radius(r)=26/2=13

Distance Of The chord from the center Of The circle(x)=5cm

Length of chord=2x√(13^2-5^2)

Length of chord=2x√(169-25)

Length of chord=2x√(144)

Length of chord=2x12

Length of chord=24cm

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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