{"id":680032,"date":"2023-09-03T05:15:13","date_gmt":"2023-09-02T23:45:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/if-a-circular-grass-lawn-of-35m-in-radius-has-a-path-7-m-wide-running-around-it-on-the-outside-then-whats-the-area-of-the-path\/"},"modified":"2025-06-20T13:27:41","modified_gmt":"2025-06-20T07:57:41","slug":"if-a-circular-grass-lawn-of-35m-in-radius-has-a-path-7-m-wide-running-around-it-on-the-outside-then-whats-the-area-of-the-path","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-a-circular-grass-lawn-of-35m-in-radius-has-a-path-7m-wid\/","title":{"rendered":"If a circular grass lawn of 35m in radius has a path 7\u00a0m wide running around it on the outside, then what\u2019s the area of the path?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"If a circular grass lawn of 35m in radius has a path 7\u00a0m wide running around it on the outside, then what\u2019s the area of the path?","custom_permalink":"question\/mathematics\/if-a-circular-grass-lawn-of-35m-in-radius-has-a-path-7m-wid\/"},"categories":[],"acf":{"question":"

If a circular grass lawn of <\/span>35<\/mn>m<\/mi><\/math> in radius has a path <\/span>7<\/mn> <\/mi>m<\/mi><\/math> wide running around it on the outside, then what\u2019s the area of the path?<\/span><\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\">","options":[{"option":"1450<\/mn> <\/mi>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>","correct":false},{"option":"1576<\/mn> <\/mi>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>","correct":false},{"option":"1694<\/mn> <\/mi>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>","correct":true},{"option":"3368<\/mn> <\/mi>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span> <\/span>","correct":false}],"solution":"We have been given,<\/span>
Radius (r) = 7cm.<\/span>
Radius (R) = 35cm.<\/span>
\"\"Using the given information,<\/span>
The radius of bigger circle (with the path) is a circular grass lawn + Path running around the grass lawn.<\/span>
Substituting the values,<\/span>
\u21d2<\/mo>35<\/mn>+<\/mo>7<\/mn>=<\/mo>42<\/mn> <\/mi>m<\/mi><\/math>
Area of the path <\/span>=<\/mo><\/math>Area of bigger circle <\/span>-<\/mo><\/math>Area of smaller circle <\/span>
\u21d2<\/mo>\u03c0<\/mi>(<\/mo>R<\/mi>)<\/mo><\/mrow>2<\/mn><\/mrow><\/msup>-<\/mo>\u03c0<\/mi>(<\/mo>r<\/mi>)<\/mo><\/mrow>2<\/mn><\/mrow><\/msup><\/math>
Substituting the values, <\/span>
\u21d2<\/mo>\u03c0<\/mi>(<\/mo>42<\/mn>)<\/mo><\/mrow>2<\/mn><\/mrow><\/msup>-<\/mo>\u03c0<\/mi>(<\/mo>35<\/mn>)<\/mo><\/mrow>2<\/mn><\/mrow><\/msup><\/math>
\u21d2<\/mo>22<\/mn><\/mrow>7<\/mn><\/mrow><\/mfrac>\u00d7<\/mo>42<\/mn>+<\/mo>35<\/mn><\/mrow><\/mfenced>42<\/mn>-<\/mo>35<\/mn><\/mrow><\/mfenced><\/math>
\u21d2<\/mo>22<\/mn>\u00d7<\/mo>77<\/mn><\/math>
\u21d2<\/mo>1694<\/mn> <\/mi>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>Thus, the area is 1694 m<\/span>2<\/span>.<\/span>
Hence, option 3 is correct.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nIf a circular grass lawn of 35m in radius has a path 7\u00a0m wide running around it on the outside, then what\u2019s the area of the path? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"If a circular grass lawn of 35m in radius has a path 7\u00a0m wide running around it on the outside, then what\u2019s the area of the path?\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-a-circular-grass-lawn-of-35m-in-radius-has-a-path-7m-wid\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If a circular grass lawn of 35m in radius has a path 7\u00a0m wide running around it on the outside, then what\u2019s the area of the path? - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"If a circular grass lawn of 35m in radius has a path 7\u00a0m wide running around it on the outside, then what\u2019s the area of the path?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-a-circular-grass-lawn-of-35m-in-radius-has-a-path-7m-wid\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:modified_time\" content=\"2025-06-20T07:57:41+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"If a circular grass lawn of 35m in radius has a path 7\u00a0m wide running around it on the outside, then what\u2019s the area of the path? 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