Perpendicular chord bisectors and equal tangents · Short practice

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Recall

Perpendicular chord bisectors and equal tangents — objective 1

Maths4U Original · Short practice

A circle has centre O and radius 30 cm. A chord AB is 18 cm from O. Separately, an external point P has \(\displaystyle OP=78 \mathrm{cm}\) and tangents PT and PU.

Find the length of AB in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Perpendicular chord bisectors and equal tangents — objective 1

Maths4U Original · Short practice

A circle has centre O and radius 35 cm. A chord AB is 21 cm from O. Separately, an external point P has \(\displaystyle OP=91 \mathrm{cm}\) and tangents PT and PU.

Find the length of AB in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Perpendicular chord bisectors and equal tangents — objective 2

Maths4U Original · Short practice

A circle has centre O and radius 35 cm. A chord AB is 21 cm from O. Separately, an external point P has \(\displaystyle OP=91 \mathrm{cm}\) and tangents PT and PU.

Find PT in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Perpendicular chord bisectors and equal tangents — objective 2

Maths4U Original · Short practice

A circle has centre O and radius 5 cm. A chord AB is 3 cm from O. Separately, an external point P has \(\displaystyle OP=13 \mathrm{cm}\) and tangents PT and PU.

Find PT in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Perpendicular chord bisectors and equal tangents — objective 3

Maths4U Original · Short practice

A circle has centre O and radius 5 cm. A chord AB is 3 cm from O. Separately, an external point P has \(\displaystyle OP=13 \mathrm{cm}\) and tangents PT and PU.

Find PU in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Perpendicular chord bisectors and equal tangents — objective 3

Maths4U Original · Short practice

A circle has centre O and radius 10 cm. A chord AB is 6 cm from O. Separately, an external point P has \(\displaystyle OP=26 \mathrm{cm}\) and tangents PT and PU.

Find PU in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Perpendicular chord bisectors and equal tangents — objective 4

Maths4U Original · Short practice

A circle has centre O and radius 10 cm. A chord AB is 6 cm from O. Separately, an external point P has \(\displaystyle OP=26 \mathrm{cm}\) and tangents PT and PU.

Find the perimeter of quadrilateral OTPU in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Perpendicular chord bisectors and equal tangents — objective 4

Maths4U Original · Short practice

A circle has centre O and radius 15 cm. A chord AB is 9 cm from O. Separately, an external point P has \(\displaystyle OP=39 \mathrm{cm}\) and tangents PT and PU.

Find the perimeter of quadrilateral OTPU in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →