PROBLEMS ON FINDING AREA OF A CRICLE WORKSHEET

Find the area of each circle in terms of π.

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

If the radius is 10 ft, what will be the area of the circle?

Solution

Problem 8 :

What is the area of a circle with a diameter of 16 in?

Solution

Problem 9 :

A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze? Express your answer in terms of π.

Solution

Problem 10 :

The Hillsboro Inlet Lighthouse lights up how much more area than the Jupiter Inlet Lighthouse?

Solution

Problem 11 :

A dog is leashed to the corner of a house. How much running area does the dog have? Explain how you found your answer.

Solution

Problem 12 :

Is the area of a semicircle with a diameter of x greater than, less than, or equal to the area of a circle with a diameter of (1/2) x ? Explain.

Solution

Problem 13 :

The heart-shaped card is made up of a square and two semicircles. What is the area of the card?

Solution

Problem 14 :

A desktop is shaped like a semicircle with a diameter of 28 inches. What is the area of the desktop?

Solution

Find the area of :

Problem 1 :

Solution

Problem 2 :

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Problem 3 :

Solution

Problem 4 :

A circular rug is laid on a tiled floor. Find :

a) the area of the rug

b) the visible area of the tiled floor.

Solution

Problem 5 :

A circular table top has a diameter of 1.6 m. A rectangular tablecloth 2 m by 2 m is placed over the table top. What area of the tablecloth overlaps the table?

Solution

Problem 6 :

The diagram shows plans for a garden which is 40 m by 40 m. it consists of 4 quarter circles of lawn with a flower bed in the middle as shown.

Find :

a) The perimeter of the garden

b) The total area of lawn

c) The total area of the garden

d) The area of the flower bed

e) The length of edging around the flower bed. 

Solution

Problem 7 :

You are placing non-slip tape along the perimeter of the bottom of a semicircle-shaped doormat. How much tape will you save applying the tape to the perimeter of the inside semicircle of the doormat? Justify your answer.

Solution

Problem 8 :

You need to carry a circular cake through a 32-inch wide doorway without tilting it. The circumference of the cake is 100 inches. Will the cake fit through the doorway? Explain.

Solution

Problem 9 :

Estimate the radius of the Big Ben clock face in London.

Solution

Problem 10 :

A desktop is shaped like a semicircle with a diameter of 28 inches. What is the area of the desktop?

Solution

Problem 11 :

An ecologist is studying an algal bloom that has formed on the entire surface of a circular pond. What is the area of the surface of the pond covered by the algal bloom?

Solution

Problem 1 :

A circle has a radius of 6 cm. A square has a side of length 12 cm.

Work out the difference between the area of the circle and the area of the square. Give your answer correct to one decimal place

Solution

Problem 2 :

The top of a table is a circle. The radius of the top of the table is 50 cm.

(a) Work out the area of the top of the table. The base of the table is a circle. The diameter of the base of the table is 40 cm.

(b) ………………………cm

Work out the circumference of the base of the table.

Solution

Problem 3 :

The diagram shows two small circles inside a large circle. The large circle has a radius of 8 cm. Each of the two small circles has a diameter of 4 cm.

(a) Write down the radius of each of the small circles.

(b) Work out the area of the region shown shaded in the diagram. Give your answer correct to one decimal place. 

Solution

Problem 4 :

If the area of the circle is 154 cm². Its perimeter is :

Solution

Problem 5 :

The radius of the circle whose area is equal to sum of areas of the two circles of radii 24 cm and 7 cm is ________

Solution

Problem 6 :

What is the area of quadrant of a circle whose radius is 14 cm?

Solution

Problem 7 :

What is the radius of a circle if its perimeter and area are numerically equal.

Solution

Problem 8 :

The length of a minute hand of a clock is 14 cm. find the area swept by the minute hand in 5 minutes.

Solution

Problem 9 :

Find the area of quadrant of a circle whose circumference is 22 cm.

Solution

Problem 10 :

What is the ratio of area of two circles whose circumference are in ratio 3:4

Solution