Practice30 Create account

PQ is a tangent at Q to a circle with centre O and radius 10 cm. If OP = 26 cm, what is the area of triangle OQP?

Competition practiceGeometry

A $120 cm^{2}$
B $130 cm^{2}$
C $240 cm^{2}$
D $260 cm^{2}$

Step-by-Step Solution

∠OQP = 90°, so

PQ = 2 6^{2} - 1 0^{2} = 24

cm and the area is

\frac{1}{2} \times 10 \times 24 = 120 cm^{2}

.

Answer: A)

120 cm^{2}

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Geometry practice questions

More Geometry practice

The diagonals of a rhombus are 16 cm and 30 cm. What is the length of each side?A rectangle has a perimeter of 34 cm and a diagonal of 13 cm. What is its area?Two adjacent angles of a parallelogram are in the ratio 2 : 3. What is the larger angle?A rhombus has sides of 13 cm and one diagonal of 24 cm. What is its area?One angle of a rhombus is 60° and each side is 10 cm. How long is the shorter diagonal?