Circles Problem Solving

In the diagaram, O is the centre of circle. PWR and UVS are straight lines. Arc PQR and arc UTS have the same length. Given the length of chord US is 16cm.

Find the length of chord PR.

Tags

CCSS.HSG.C.A.2

In the diagaram, O is the centre of circle. PWR and UVS are straight lines. Arc PQR and arc UTS have the same length. Given the length of chord US is 16cm.

Find the length of UV.

Tags

CCSS.HSG.C.A.2

In the diagaram, O is the centre of circle. PWR and UVS are straight lines. Arc PQR and arc UTS have the same length. Given the length of chord US is 16cm.

Find the value of x.

Tags

CCSS.HSG.C.B.5

In the diagaram, O is the centre of circle.OQS and PQR are straight lines. Given the radius of the circle is 10cm and the length of chord PQR is 16cm.

Find the length of QS.

Tags

CCSS.HSG.C.A.2

In the diagram, O is the centre of circle with radius 13cm. Given the chord KM=24cm, find the length of OP, in cm.

Tags

CCSS.HSG.C.A.2

In the diagram, O is the centre of circle with radius 13cm and AC=12cm. Find the length SB, in cm.

Tags

CCSS.HSG.C.A.2

Diagram shows a circle centred O with radius 17cm. Given AM=2cm and length of arc PMR is equal to the length of arc SNU, find the length US, in cm.

Tags

CCSS.HSG.C.B.5

Diagram shows a circle with centre O and has radius 25cm. Given PR=40cm, MR=21cm and PR=KM, find the perimeter, in cm, pentagon OLMRQ.

Tags

CCSS.3.MD.D.8

Determine the equation of a circle with center (5,-3) and radius of 9

• x²+y²-10x+6y-47=4

• x²+y²-10x-6y-47=0

• 2x²+y²+10x+6y-47=0

• x²+y²-10x+6y-47=0

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circle in general form given the center at (3, 4) and radius of 5 units?

• (x – 3)² - (y – 4)² = 25

• (x – 3)² + (y – 4)² = 25

• x² + y² + 6x - 8y - 25 = 0

• x² + y² - 6x - 8y = 0

Tags

CCSS.HSG.GPE.A.1